Avijit Sarkar

Professor

Department: Department of Mathematics
Phone Number: 9932220737
Institutional E-Mail: asmathku17@klyuniv.ac.in
Web URL: https://www.researchgate.net/profile/Avijit-Sarkar-8
Educational Qualifications:

M. Sc., Ph. D.

Research Area:

Differential Geometry
Geometric Evolution Equations

Teaching Experience:

16 Years

List of Publications(Peer-Reviewed)

MR4371347 Prelim Hazra, Dipankar; Sarkar, Avijit; Quasi-conformal curvature tensor on N(k)-quasi einstein manifolds. Korean J. Math. 29 (2021), no. 4, 801–810. 53C25 (53C35)
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MR4365504 Prelim Sarkar, Avijit; Sardar, Arpan; η-Ricci solitons on N(k)-contact metric manifolds. Filomat 35 (2021), no. 11, 3879–3889. 53D15 (53C15)
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MR4365404 Prelim Sarkar, Avijit; De, Uday Chand; Biswas, Gour Gopal; On three-dimensional (m,ρ)-quasi-Einstein N(κ)-contact metric manifold. Filomat 35 (2021), no. 8, 2801–2809. 53C15 (53D15)
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MR4308396 Pending Sarkar, A.; Bhakta, Pradip; Sen, Matilal Some characterizations of anti-invariant submanifolds of trans-Sasakian manifolds. Asian-Eur. J. Math. 14 (2021), no. 9, Paper No. 2150167, 15 pp. 53C40 (53C25)
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MR4291287 Pending Sarkar, Avijit; Ghosh, Sujoy Generic submanifolds of trans-Sasakian manifolds with certain vector fields. Korean J. Math. 29 (2021), no. 2, 425–434. 53D15 (53C25)
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MR4284199 Reviewed Sarkar, Avijit; Biswas, Nirmal On f-biharmonic submanifolds of three dimensional trans-Sasakian manifolds. Kyungpook Math. J. 61 (2021), no. 2, 395–408. 53C40 (53D15)
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MR4252846 Reviewed Ghosh, Sujoy; Jun, Jae-Bok; Sarkar, Avijit On generic submanifolds of LP-Sasakian manifolds with concurrent vector fields. Commun. Korean Math. Soc. 36 (2021), no. 2, 361–375. 53D15 (53C25)
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MR4276266 Reviewed Ghosh, Sujoy; Sarkar, Avijit On invariant submanifolds of paracontact (κ,μ)-spaces. Bull. Transilv. Univ. Braşov Ser. III 13(62) (2020), no. 2, 545–559. 53C40 (53D15)
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MR4256630 Reviewed Sarkar, Avijit; Ghosh, Sujoy Submanifolds of generalized Lorentzian Sasakian space forms. J. Adv. Math. Stud. 13 (2020), no. 1, 42–50. 53C40 (53C25 53D15)
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MR4246559 Reviewed Sarkar, Avijit; Bhakta, Pradip Some characterizations of three-dimensional f-Kenmotsu Ricci solitons. Facta Univ. Ser. Math. Inform. 35 (2020), no. 4, 1049–1057. 53D15 (53C15)
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MR4246545 Reviewed Sarkar, Avijit; Biswas, Nirmal On f-Kenmotsu manifolds and their submanifolds with quarter symmetric metric connections. Facta Univ. Ser. Math. Inform. 35 (2020), no. 4, 1017–1030. 53D15 (53B05)
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MR4209256 Reviewed Sarkar, Avijit; Bhakta, Pradip Certain solitons on generalized (κ,μ) contact metric manifolds. Korean J. Math. 28 (2020), no. 4, 847–863. 53D15 (53C25)
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MR4188458 Indexed Sarkar, A.; Biswas, N.; Sen, M. On some submanifolds of (ϵ)-LP-Sasakian manifolds. Acta Univ. Apulensis Math. Inform. No. 61 (2020), 65–80. 53B25 (53D15)
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MR4158497 Reviewed Sarkar, A.; Biswas, N. On some submanifolds of generalized (κ,μ)-space-forms. Acta Math. Univ. Comenian. (N.S.) 89 (2020), no. 2, 319–334. 53C40 (53D15)
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MR4135856 Reviewed Sarkar, Avijit; Biswas, Gour Gopal Critical point equation on K-paracontact manifolds. Balkan J. Geom. Appl. 25 (2020), no. 1, 117–126. (Reviewer: Uday Chand De) 58E11 (53C15)
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MR4098013 Reviewed Sarkar, Avijit; Biswas, Gour Gopal Ricci solitons on three dimensional generalized Sasakian space forms with quasi Sasakian metric. Afr. Mat. 31 (2020), no. 3-4, 455–463. 53C25
Review PDF Clipboard Journal Article 1 Citation
MR4367540 Prelim Sarkar, Avijit; Bhakt, Pradip; Sen, Matilal; On certain soliton and ricci tensor of generalized (κ,μ) manifolds. J. Adv. Math. Stud. 12 (2019), no. 3, 314–323. 53C15 (53D15)
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MR4039720 Reviewed Sarkar, Avijit; Sil, Amit; Paul, Avijit Kumar Ricci almost solitons on three-dimensional quasi-Sasakian manifolds. Proc. Nat. Acad. Sci. India Sect. A 89 (2019), no. 4, 705–710. 53C15
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MR4035108 Reviewed Sarkar, A.; Bhakta, P. Some characterizations of slant submanifolds of trans-Sasakian manifolds. Proceedings of The International Conference “Differential Geometry, Dynamical Systems” (DGDS-2018), 102–111, BSG Proc., 26, Geom. Balkan Press, Bucharest, 2019. 53C40 (53D15)
Review PDF Clipboard Series Chapter
MR3999599 Reviewed Sarkar, Avijit; Sil, Amit Certain curves on α-para Kenmotsu manifolds. Rom. J. Math. Comput. Sci. 9 (2019), no. 1, 31–38. (Reviewer: İrem Küpeli Erken) 53D15 (53A04)
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MR3947088 Reviewed Sarkar, Avijit; Sil, Amit; Paul, Avijit Kumar On three-dimensional quasi-Sasakian manifolds and magnetic curves. Appl. Math. E-Notes 19 (2019), 55–64. (Reviewer: Amalendu Ghosh) 53D15 (53D25)
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MR3939167 Indexed Sarkar, A.; Bhakta, P. Ricci almost solition on (κ,μ) space forms. Acta Univ. Apulensis Math. Inform. No. 57 (2019), 75–85. 53C15 (53D15)
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MR3930710 Reviewed Sarkar, Avijit; Mondal, Rajesh On N(κ)-para contact 3-manifolds with Ricci solitons. Math. Student 88 (2019), no. 1-2, 137–145. 53C15
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MR3891608 Reviewed Sarkar, Avijit; Sil, Amit Some curves on α-para Kenmotsu manifolds with semisymmetric metric connections. Konuralp J. Math. 6 (2018), no. 2, 299–305. 53D15 (53B05)
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MR3850445 Reviewed Sarkar, A.; Paul, A. K.; Mondal, R. On α-para Kenmotsu 3-manifolds with Ricci solitons. Balkan J. Geom. Appl. 23 (2018), no. 1, 100–112. 53D15
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MR3896794 Reviewed Sarkar, Avijit; Sil, Amit Legendre curves on three-dimensional quasi-Sasakian manifolds with semi symmetric metric connection. Acta Math. Acad. Paedagog. Nyházi. (N.S.) 33 (2017), no. 2, 265–271. 53B05 (53D15)
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MR3749169 Reviewed Mondal, Ashis; Sarkar, Avijit Some curves associated with α-Sasakian manifolds. Facta Univ. Ser. Math. Inform. 32 (2017), no. 5, 755–762. 53D15 (53A04)
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MR3700537 Reviewed Sarkar, A.; Sil, Amit; Biswas, Dipankar A study on three-dimensional quasi-Sasakian manifolds. Indian J. Math. 59 (2017), no. 2, 209–225. 53D15
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MR3665902 Reviewed Sarkar, Avijit; Mondal, Ashis Certain curves on some classes of three-dimensional almost contact metric manifolds. Rev. Un. Mat. Argentina 58 (2017), no. 1, 107–125. (Reviewer: Pablo Alegre) 53D15
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MR3675482 Reviewed Sarkar, Avijit; Sil, Amit Curves on some classes of Kenmotsu manifolds. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 59 (2016), 101–112. 53D15 (53B25)
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MR3493265 Reviewed Sarkar, A.; Mondal, Ashis; Biswas, Dipankar Some curves on three-dimensional trans-Sasakian manifolds with semisymmetric metric connection. Palest. J. Math. 5 (2016), no. 2, 195–203. 53D15
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MR3493247 Reviewed Akbar, Ali; Sarkar, Avijit On three dimensional locally ϕ-semisymmetric trans-Sasakin manifolds with respect to generalized Tanaka Webster Okumura connection. Palest. J. Math. 5 (2016), no. 2, 23–34. 53D15
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MR3463931 Reviewed Sarkar, Avijit; Mondal, Ashis Certain curves in trans-Sasakian manifolds. Facta Univ. Ser. Math. Inform. 31 (2016), no. 1, 187–200. 53D15 (53C43)
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MR3433659 Reviewed Akbar, Ali; Sarkar, A. Some results on a generalized Sasakian-space-form admitting trans-Sasakian structure with respect to a generalized Tanaka Webster Okumura connection. Rom. J. Math. Comput. Sci. 5 (2015), no. 2, 130–137. (Reviewer: Pablo Alegre) 53D15
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MR3358669 Reviewed Sarkar, Avijit; Biswas, Dipankar On Legendre curves in three-dimensional contact metric manifolds. Palest. J. Math. 4 (2015), no. 2, 455–461. (Reviewer: Şaban Güvenç) 53D10 (53D15)
Review PDF Clipboard Journal Article 1 Citation
MR3265515 Reviewed Sarkar, Avijit; Sen, Matilal; Akbar, Ali Generalized Sasakian-space-forms with conharmonic curvature tensor. Palest. J. Math. 4 (2015), no. 1, 84–90. (Reviewer: Manjusha Majumdar) 53D15 (53C25)
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MR3521920 Reviewed Akbar, Ali; Sarkar, A.; Ali, Md. Showkat Some curvature properties in LP-Sasakian manifolds with respect to generalized Tanaka Webster Okumura connection. Ganit 34 (2014), 47–55. 53D15
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MR3259063 Reviewed Sarkar, A.; Akbar, Ali Generalized Sasakian-space-forms with projective curvature tensor. Demonstr. Math. 47 (2014), no. 3, 725–737. (Reviewer: Verónica Martín-Molina) 53C25 (53D15)
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MR3229430 Reviewed Akbar, Ali; Sarkar, A. Almost C(λ) manifolds admitting W2 curvature tensor. J. Rajasthan Acad. Phys. Sci. 13 (2014), no. 1, 31–38. (Reviewer: Helaluddin Ahmad) 53C25 (53D15)
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MR3229252 Reviewed Akbar, Ali; Sarkar, Avijit Some curvature properties of trans-Sasakian manifolds. Lobachevskii J. Math. 35 (2014), no. 2, 56–64. (Reviewer: Şaban Güvenç) 53C25 (53C15)
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MR3215651 Reviewed Sarkar, A.; Sen, M. Locally φ-symmetric generalized Sasakian-space forms. Translation of Ukraïn. Mat. Zh. 65 (2013), no. 10, 1430–1438. Ukrainian Math. J. 65 (2014), no. 10, 1588–1597. (Reviewer: Pablo Alegre) 53C25 (53D15)
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MR3182601 Reviewed Sarkar, A.; Hui, S. K.; Sen, Matilal A study on Legendre curves in 3-dimensional trans-Sasakian manifolds. Lobachevskii J. Math. 35 (2014), no. 1, 11–18. (Reviewer: Mohamed Belkhelfa) 53C25 (53D15)
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MR3152931 Reviewed Sarkar, A.; Biswas, Dipankar Legendre curves on three-dimensional Heisenberg groups. Facta Univ. Ser. Math. Inform. 28 (2013), no. 3, 241–248. (Reviewer: Mohamed Belkhelfa) 53D15 (53C25)
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MR3099877 Reviewed Sarkar, A.; De, U. C.; Sen, M. Some results on generalized (k,μ)-contact metric manifolds. Acta Univ. Apulensis Math. Inform. No. 32 (2012), 49–59. 53C15 (53C40)
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MR3052019 Reviewed Hui, Shyamal Kumar; Sarkar, Avijit On the W2-curvature tensor of generalized Sasakian-space-forms. Math. Pannon. 23 (2012), no. 1, 113–124. 53Cxx
Review PDF Clipboard Journal Article 3 Citations
MR3051849 Reviewed De, U. C.; Sarkar, Avijit On the quasi-conformal curvature tensor of a (k,μ)-contact metric manifold. Math. Rep. (Bucur.) 14(64) (2012), no. 2, 115–129. 53D10
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MR2986301 Reviewed Sarkar, Avijit; Sen, Matilal On invariant submanifolds of LP-Sasakian manifolds. Extracta Math. 27 (2012), no. 1, 145–154. 53Cxx
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MR2969312 Reviewed Sarkar, A.; Sen, Matilal On ϕ-recurrent generalized Sasakian-space-forms. Lobachevskii J. Math. 33 (2012), no. 3, 244–248. 53Cxx
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MR2952463 Reviewed Sarkar, Avijit; Sen, Matilal On invariant submanifolds of trans-Sasakian manifolds. Proc. Est. Acad. Sci. 61 (2012), no. 1, 29–37. (Reviewer: Domingo Chinea) 53C15
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MR2910802 Reviewed Sarkar, A.; De, U. C. Some curvature properties of generalized Sasakian-space-forms. Lobachevskii J. Math. 33 (2012), no. 1, 22–27. (Reviewer: Pablo Alegre) 53C25 (53D15)
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MR2862052 Reviewed Sarkar, Avijit; Sen, Matilal On (k,μ)-contact metric manifolds. Thai J. Math. 9 (2011), no. 3, 585–596. (Reviewer: Domenico Perrone) 53D10
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MR2809969 Reviewed De, Uday Chand; Sarkar, Avijit On pseudo-slant submanifolds of trans-Sasakian manifolds. Proc. Est. Acad. Sci. 60 (2011), no. 1, 1–11. (Reviewer: Mario A. Fioravanti) 53C40 (53C25 53D15)
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MR2784446 Reviewed Sarkar, Avijit On submanifolds of Sasakian manifolds. Lobachevskii J. Math. 32 (2011), no. 1, 88–94. (Reviewer: Cihan Özgür) 53C25 (53C40)
Review PDF Clipboard Journal Article 1 Citation
MR2755518 Reviewed De, U. C.; Sarkar, Avijit On the projective curvature tensor of generalized Sasakian-space-forms. Quaest. Math. 33 (2010), no. 2, 245–252. (Reviewer: Pablo Alegre) 53C25 (53D15)
Review PDF Clipboard Journal Article 6 Citations
MR2658622 Reviewed De, U. C.; Sarkar, A. Some results on generalized Sasakian-space-forms. Thai J. Math. 8 (2010), no. 1, 1–10. (Reviewer: Pablo Alegre) 53C25 (53D15)
Review PDF Clipboard Journal Article 5 Citations
MR2588225 Reviewed De, U. C.; Sarkar, Avijit On (ϵ)-Kenmotsu manifolds. Hadronic J. 32 (2009), no. 2, 231–242. (Reviewer: Cătălin L. Gherghe) 53D15 (53C15)
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MR2554875 Reviewed De, U. C.; Sarkar, Avijit On three-dimensional quasi-Sasakian manifolds. SUT J. Math. 45 (2009), no. 1, 59–71. (Reviewer: Zbigniew Olszak) 53C25 (53D15)
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MR2535120 Reviewed De, U. C.; Sarkar, Avijit On a type of P-Sasakian manifolds. Math. Rep. (Bucur.) 11(61) (2009), no. 2, 139–144. (Reviewer: Andrew Bucki) 53C25
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MR2524542 Reviewed De, U. C.; Sarkar, Avijit On three-dimensional trans-Sasakian manifolds. Extracta Math. 23 (2008), no. 3, 265–277. (Reviewer: Domingo Chinea) 53C25 (53D15)
Review PDF Clipboard Journal Article 10 Citations
MR2494923 Reviewed De, U. C.; Yildiz, Ahmet; Sarkar, Avijit Isometric immersion of three-dimensional quasi-Sasakian manifolds. Math. Balkanica (N.S.) 22 (2008), no. 3-4, 297–306. (Reviewer: Zbigniew Olszak) 53C25 (53C42 53D15)
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MR2433317 Reviewed De, U. C.; Sarkar, Avijit On three-dimensional locally ϕ-recurrent quasi-Sasakian manifolds. Demonstratio Math. 41 (2008), no. 3, 677–684. (Reviewer: Zbigniew Olszak) 53C25
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MR2429328 Reviewed De, U. C.; Sarkar, Avijit On ϕ-Ricci symmetric Sasakian manifolds. Proc. Jangjeon Math. Soc. 11 (2008), no. 1, 47–52. (Reviewer: Albert Jeune) 53C25 (53D15)
Review PDF Clipboard Journal Article 4 Citations

Membership of Learned Societies

Member of Indian Stastical Institute, Kolkata

ORCID ID https://orcid.org/0000-0002-7370-1698
SCOPUS ID https://www.scopus.com/authid/detail.uri?authorId=24485645700
Google Scholar ID https://scholar.google.com/citations?user=TQ0qz7kAAAAJ&hl=en&authuser=2
Research Supervision

Following students Have been awarded under my supervision
1. Matilal Sen(BU)
2. Ali Akbar
3. Dipankar Biswas(BU)
4. Ashis Mondal
5. Amit Sil
6. Avijit Kumar Paul
7. Rajesh Mondal
8. Pradip Bhakta
9. Nirmal Biswas
10. Gour Gopal Biswas
Following students are working at present:
1. Sujoy Ghosh
2. Arpan sardar
3. Suparna Halder
4. Tarak mandal
5. Dipankar Hazra
6. Titli Maiti