Research Interests & Publications

Research Interests: 

Broad Research area: Differential Geometry 

Particular interest: Different types of Ricci solitons in contact and complex manifolds, Investigation of some types of solitons on certain spacetimes, Warped product submanifolds.

Published and Accepted articles:

SCI/SCIE-indexed:

1. Santu Dey, Certain results on gradient almost $\eta$-Ricci-Bourguignon soliton, Quaestiones  Mathematicae, Taylor & Francis, Impact Factor-1.474, Vol. 47(2), 263-284, https://doi.org/10.2989/16073606.2023.2224587 (2024).

2. Santu Dey and Young Jin Suh, On $K$-contact metric manifolds satisfying an almost gradient Ricci-Bourguignon soliton,  accepted for publication in Reviews in Mathematical Physics, World Scientific, Impact Factor-1.383, https://doi.org/10.1142/S0129055X24500326 (2024).

3. Santu Dey, Shyamal Kumar Hui, Soumendu Roy and Ali H. Alkhaldi, Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol. 21, No. 8 (2024) 2450148 (17 pages).

4. Somnath Mondal, Santu Dey, Ali H. Alkhaldi, Ashis Kumar Sarkar and Arindam Bhattacharyya, Geometry of almost $*$-$\eta$-Ricci-Yamabe soliton on Kenmotsu manifolds, Filomat, Impact Factor-0.988 (2023), Vol. 38:24 (2024).

5. Soumendu Roy, Santu Dey, Ali H. Alkhaldi, Akram Ali and Arindam Bhattacharyya, $*$-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field, Filomat, Impact Factor-0.988 , Vol. 38:8 (2024), 2707–2719, https://doi.org/10.2298/FIL2408707R

6. Santu Dey and Siraj Uddin, Applications of some types of solitons within the framework of Kahlerian spacetime manifolds, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol. 20, No. 9, 2350143 https://doi.org/10.1142/S0219887823501438 (2023).

7. Santu Dey and Young Jin Suh, Geometry of almost contact metrics as an almost ∗-η-Ricci-Bourguignon solitons,  Reviews in Mathematical Physics, World Scientific, Impact Factor-1.383, Vol. 35, No. 7 (2023), 2350012, https://doi.org/10.1142/S0129055X23500125.

8.  Santu Dey, Soumendu Roy and Fatma Karaca, Geometry of almost contact metrics as a ∗-conformal Ricci-Yamabe solitons and related results, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol. 20, No. 9, 2350146 https://doi.org/10.1142/S0219887823501463 (2023).

9. Sumanjit Sarkar, Santu Dey and Arindam Bhattacharyya, A study of conformal almost Ricci solitons on Kenmotsu manifolds, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol. 20, No. 4. (2023) 2330001 (16 pages), https://doi.org/10.1142/S0219887823300015.

10. Somnath Mondal, Santu Dey and Arindam Bhattacharyya, Characterization of almost η-Ricci-Yamabe soliton and gradient almost η-Ricci-Yamabe soliton on almost Kenmotsu manifolds, Acta Mathematica Sinica, English Series, Springer, Impact Factor-0.955, Vol. 39, No. 4, pp. 728-748 https://doi.org/10.1007/s10114-023-2233-4 (2023).

11.  Santu Dey, Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol. 20, No. 3 (2023) 2350041 (17 pages),  https://doi.org/10.1142/S021988782350041X .

12. Santu Dey and Siraj Uddin, Characterization of almost ∗-conformal η-Ricci soliton on para-Kenmotsu manifolds, Filomat, Impact Factor-0.988, Vol. 37:11 (2023), 3601–3614,  https://doi.org/10.2298/FIL2311601D.

13. Sumanjit Sarkar and Santu Dey, ∗-Conformal η-Ricci soliton within the framework of Kenmotsu manifolds, Ricerche di Matematica, Springer, Impact Factor-1.166, https://doi.org/10.1007/s11587-023-00781-1 (2023).

14. Santu Dey, Piscoran Laurian-Ioan and Soumendu Roy, Geometry of *- k-Ricci-Yamabe soliton and gradient *-k-Ricci-Yamabe soliton on Kenmotsu manifolds, Hacettepe Journal of Mathematics & Statistics, Impact Factor-0.867, Vol. 52(4), 907-922, https://doi.org/10.15672/hujms.1074722 (2023).

15. Santu Dey, Certain results of κ-almost gradient Ricci-Bourguignon soliton on pseudo-Riemannian manifolds, Journal of Geometry and Physics, Elsevier,  Impact Factor-1.38, Vol. 184(2022), 104725,  https://doi.org/10.1016/j.geomphys.2022.104725.

16. Santu Dey and Soumendu Roy, Characterization of general relativistic spacetime equipped with η-Ricci-Bourguignon soliton, Journal of Geometry and Physics, Elsevier, Impact Factor-1.38,  Vol: 178 (2022) 104578, https://doi.org/10.1016/j.geomphys.2022.104578.

17. Santu Dey, Meraj Ali Khan, Soumendu Roy and Peibiao Zhao, Characterization of general relativistic spacetime  equipped with different types of solitons,  International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873, Vol: 19, No. 14. (2022), 2250218 https://doi.org/10.1142/S0219887822502188.

18.  Santu Dey and Siraj Uddin, Conformal η-Ricci almost solitons of Kenmotsu manifolds, International Journal of Geometric Methods in Modern Physics, World Scientific, Impact Factor-1.873,  Vol. 19, No. 8, (2022) 2250121, https://doi.org/10.1142/S0219887822501213.

19.  Yanlin Li, Santu Dey, Sampa Pahan and Akram Ali, Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry, Open Mathematics, De Gruyter, Impact Factor-0.979, 20(1): 574–589, (2022),  https://doi.org/10.1515/math-2022-0048.

20.  Sumanjit Sarkar, Santu Dey, Ali H. Alkhaldi and Arindam Bhattacharyya, Geometry of para-Sasakian metric as an almost conformal η-Ricci soliton, Journal of Geometry and Physics, Elsevier, Impact Factor-1.38, Vol: 181 (2022) 104651,  https://doi.org/10.1016/j.geomphys.2022.104651.

21. Yanlin Li, Somnath Mondal, Santu Dey, Arindam Bhattacharyya and Akram Ali, A study of conformal η-Einstein Solitons on trans-Sasakian 3-manifold,  accepted for publication in Journal of Nonlinear Mathematical Physics, Springer, Impact Factor-1.163 (2022), https://doi.org/10.1007/s44198-022-00088-z.

22. Yanlin Li, Fatemah Mofarreh,  Santu Dey, Soumendu Roy and Akram Ali, General Relativistic Space-Time with η1-Einstein Metrics,  Mathematics, MDPI, Impact Factor-2.592, (2022), 10, 2530. https://doi.org/10.3390/math10142530.

23.  Zhizhi Chen, Yanlin Li, Sumanjit Sarkar, Santu Dey and Arindam Bhattacharyya, Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold,  Universe, MDPI, Impact Factor-2.813, (2022), 8, 595, https://doi.org/ 10.3390/universe8110595.

24.  Pengfei Zhang, Yanlin Li, Soumendu Roy, Santu Dey and Arindam Bhattacharyya, Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton, Symmetry, MDPI, Impact Factor-2.940, 14, (2022), 594, https://doi.org/10.3390/ sym14030594.

25.  Santu Dey and Nasser Bin Turki, ∗-η-Ricci Soliton and Gradient Almost ∗-η-Ricci Soliton Within the Framework of Para-Kenmotsu Manifolds,  Frontiers in Physics, Impact Factor-3.718, Vol:10, (2022), https://doi.org/10.3389/fphy.2022.809405.

26. Yanlin Li, Dipen Ganguly, Santu Dey and Arindam Bhattacharyya, Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds, AIMS Mathematics, Impact Factor-2.739, 7(4): 5408–5430, (2022), DOI: 10.3934/math.2022300.

27. Dipen Ganguly, Santu Dey, Akram Ali and Arindam Bhattacharyya, Conformal Ricci soliton and quasi-Yamabe soliton on generalized Sasakian space form, Journal of Geometry and Physics, Elsevier, Impact Factor-1.38, 169 (2021) 104339, https://doi.org/10.1016/j.geomphys.2021.104339.

28.  Sumanjit Sarkar, Santu Dey and Xiaomin Chen, Certain Results of Conformal and ∗-Conformal Ricci Soliton on Para-Cosymplectic and Para-Kenmotsu Manifolds, Filomat, Impact Factor-0.988, 35:15 (2021), 5001–5015,  https://doi.org/10.2298/FIL2115001S.

29. Santu Dey, Sumanjit Sarkar and Arindam Bhattacharyya, ∗-η-Ricci soliton and contact geometry, Ricerche di Matematica, Springer, Impact Factor-1.166, https://doi.org/10.1007/s11587-021-00667-0 (2021).

30. Pengfei Zhang, Yanlin Li, Soumendu Roy and Santu Dey,  Geometry of α-Cosymplectic Metric as ∗-Conformal η-Ricci–Yamabe Solitons Admitting Quarter-Symmetric Metric Connection, Symmetry, MDPI, Impact Factor-2.940, (2021), 13, 2189, https://doi.org/10.3390/sym13112189.

31. Sampa Pahan and  Santu Dey, Warped products semi-slant and pointwise semi-slant submanifolds on Kaehler manifolds, Journal of Geometry and Physics, Elsevier, Impact Factor-1.38, 155 (2020) 103760,  https://doi.org/10.1016/j.geomphys.2020.103760.

SCOPUS-indexed:

1. Santu Dey, A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry, accepted for publication in Carpathian Math. Publ. 15 (1), 31–42, doi:10.15330/cmp.15.1.31-42 (2023).

2. Somnath Mondal, Santu Dey, Young Jin Suh and Arindam Bhattacharyya, The Geometry of δ-Ricci-Yamabe Almost Solitons on Paracontact Metric Manifold, KYUNGPOOK Math. J. 63(4)(2023), 623-638 https://doi.org/10.5666/KMJ.2023.63.4.623.

3. Somnath Mondal, Santu Dey, Young Jin Suh and Arindam Bhattacharyya, Geometry of -Ricci-Yamabe almost soliton on Paracontact metric manifolds, accepted for publication in Kyungpook Mathematical Journal (2023).

4. Soumendu Roy and Santu Dey, Study of Sasakian manifolds admitting∗-Ricci–Bourguignon solitons with Zamkovoy connection appear in Annali dell'Università di Ferrara (ADUF), Springer, https://doi.org/10.1007/s11565-023-00467-4 (2023).

5.  Santu Dey and Sampa Pahan, Geometry of mixed generalized quasi-Einstein warped products admitting affine connections,  Annali dell'Università di Ferrara (ADUF), Springer, https://doi.org/10.1007/s11565-022-00449-y  (2022).

6. Soumendu Roy, Santu Dey, Arindam Bhattacharyya and  Shyamal Kumar Hui,  ∗-Conformal η-Ricci soliton on Sasakian manifold, Asian-European Journal of Mathematics, World Scientific, Vol. 15, No. 2 (2022) 2250035, https://doi.org/10.1142/S1793557122500358.

7. Soumendu Roy, Santu Dey, Arindam Bhattacharyya and Xiaomin Chen, Geometry of ∗-Einstein soliton on Kenmotsu manifolds, accepted for publication in Jordan Journal of Mathematics and Statistics (JJMS) (2022).

8.  Soumendu Roy, Santu Dey and Arindam Bhattacharyya, Some results on η-Yamabe solitons in 3-dimensional trans-Sasakian manifold, Carpathian Math. Publ., 14 (1), 158–170, (2022), doi:10.15330/cmp.14.1.158-170

9. Soumendu Roy, Santu Dey and Arindam Bhattacharyya, A Kenmotsu metric as a conformal η-Einstein soliton, Carpathian Math. Publ.,  13 (1), 110–118, (2021), doi:10.15330/cmp.13.1.110-118.

10. Dipen Ganguly, Santu Dey and Arindam Bhattacharyya, On trans-Sasakian 3-manifolds as η-Einstein solitons, Carpathian Math. Publ., 13 (2), 460–474, (2021), doi:10.15330/cmp.13.2.460-474, https://doi.org/10.29020/nybg.ejpam.v11i1.2346.

11. Soumendu Roy, Santu Dey and Arindam Bhattacharyya, Conformal Yamabe soliton and ∗-Yamabe soliton with torse forming potential vector field, Matematički Vesnik, 73, 4 (2021), 282–292.

12.  Buddhadev Pal, Santu Dey and Sampa Pahan, On a non-flat Riemannian warped product manifold with respect to quarter-symmetric connection, Acta Univ. Sapientiae, Mathematica, 11, 2 (2019), 332–349, DOI: 10.2478/ausm-2019-0024.

13.  Shouvik Datta Choudhury, Santu Dey and Arindam Bhattacharyya, Volume of pentahedron revisited, Palestine Journal of Mathematics, Vol. 8(2) (2019), 275–278. 

14.  Santu Dey, Buddhadev Pal  and  Arindam Bhattacharyya, Regularization of heptahedra using geometric element transformation method, European Journal of Pure and Applied Mathematics, 11(1), 315–330, https://doi.org/10.29020/nybg.ejpam.v11i1.2346, (2018).

15. Santu Dey and Arindam Bhattacharyya, Conformal Mappings of Mixed Generalized Quasi-Einstein manifolds Admitting Special Vector Fields, Extracta Mathematicae, vol. 32, num 2, p: 255-355 (2017). 

16.  Santu Dey, Buddhadev Pal  and  Arindam Bhattacharyya, On some classes of mixed-super quasi-Einstein manifolds, Acta Univ. Sapientiae, Mathematica, 8(1) (2016) 32–52, DOI: 10.1515/ausm-2016-0003.

17. Santu Dey and Arindam Bhattacharyya, On $\phi$-pseudo Symmetric LP-Sasakian manifolds with respect To Quarter-Symmetric Non-metric Connections, Acta et Commentationes Universitatis Tartuensis de Mathematica, Vol-20, No. 2 (2016), p: 151-164. 

Web of Science/ESCI-indexed:

1. Santu Dey and Shahroud Azami, Certain results on η-Ricci solitons and almost η-Ricci solitons, FACTA UNIVERSITATIS (NIS) Ser. Math. Inform. Vol. 37, No. 2 (2022), 359-376 https://doi.org/10.22190/FUMI220210025D.

2.  Soumendu Roy, Santu Dey &  Arindam Bhattacharyya, Yamabe Solitons On (LCS)n-Manifolds, Journal of Dynamical Systems and Geometric Theories(Taylor & Francis), 18:2, 261-279, 2020,  https://doi.org/10.1080/1726037X.2020.1868100.

3.  Santu Dey & Soumendu Roy, ∗-η-Ricci Soliton within the framework of Sasakian Manifold, Journal of Dynamical Systems and Geometric Theories(Taylor & Francis), 18:2, 163-181, 2020, https://doi.org/10.1080/1726037X.2020.1856339.

4.  Soumendu Roy, Santu Dey &  Arindam Bhattacharyya, Conformal Einstein soliton within the framework of para-K $\"{a} $ hler manifold, Differential Geometry - Dynamical Systems(DGDS), Vol. 23, 235-243(2020).

5.  Santu Dey, Buddhadev Pal & Arindam Bhattacharyya, A Non-Flat Riemannian Manifold Admitting Certain Vectors Fields, Journal of Dynamical Systems and Geometric Theories(Taylor & Francis), 17:2, 221-237, 2019, https://doi.org/10.1080/1726037X.2019.1668148.

6.  Santu Dey, Buddhadev Pal & Arindam Bhattacharyya, Some classes of Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection, Tbilisi Math. J. 10 (4), 1-16, (September 2017) DOI: 10.1515/tmj-2017-0041.

My profile can be found in the following cites:

‪Santu Dey‬ - ‪Google Scholar‬,  MR: Dey, Santu - 1154234 (ams.org) ,  Santu Dey (0000-0002-2601-3788) (orcid.org) ,  Scopus(57212414496), Research Gate.