Research and Publications
My area of research is broadly Riemannian geometry and contact manifolds. I worked on Fischer-Marsden and CPE conjectures and various solitons on these manifolds. Currently, I am interested in studying weak contact structures and Einstein-type solitons.
Here is a list of my publications along with preprints.
D.S. Patra and V. Rovenski: On the Rigidity of the Sasakian Structure and Characterization of Cosymplectic Manifolds, Differential Geometry and its Applications, 90, (2023), 102043.
D.S. Patra, A. Ali and F. Mofarreh: Geometry of almost contact metrics as almost *-Ricci solitons, International Journal of Geometric Methods in Modern Physics, (2023), 2450095.
Y. Li, D.S. Patra, N. Alluhaibi, A. Ali and F. Mofarreh: Geometric classifications of k-almost Ricci solitons admitting paracontact metrices, Open Mathematics, 21(1), (2023), 20220610.
D.S. Patra, A. Bhattacharyya and M. Taradar: Certain almost Kenmotsu metrics satisfying the Vacuum Static equation, Publications de l'Institut Mathematique, 113(127), (2023), 1-11.
V. Rovenski and D.S. Patra: Characteristics of Sasakian manifolds admitting almost *-Ricci solitons, Fractal and Fractional, 7 (2023), 156.
D.S. Patra: Some characterizations of \rho-Einstein solitons on Sasakian manifolds, Canadian Mathematical Bulletin, 65(4), (2022), 1036-1049.
A. Ali, F. Mofarreh and D.S. Patra: Geometry of almost Ricci solitons on paracontact metric manifolds, Quaestiones Mathematicae, 45(8), (2022), 1167-1180.
D.S. Patra and A. Ghosh: On the m-quasi-Einstein almost contact manifolds, Publicationes Mathematicae, 101(3-4) (2022), 477-490.
D.S. Patra, A. Ali and F. Mofarreh: Characterizations of Ricci-Bourguignon almost solitons on pseudo-Riemannian manifolds, Mediterranean Journal of Mathematics, 19, (2022), 176.
S. Dwivedi and D.S. Patra: Some results on almost *-Ricci-Bourguignon solitons, Journal of Geometry and Physics, 178, (2022), 104519.
D.S. Patra and V. Rovenski: Almost \eta-Ricci solitons on Kenmotsu manifolds, European Journal of Mathematics, 7(4) (2021) 1753-1766
D.S. Patra and A. Ghosh: On Einstein-type contact metric manifolds, Journal of Geometry and Physics, 169, (2021), 104342.
D.S. Patra: K-contact metrics as Ricci almost solitons, Beiträge zur Algebra und Geometrie, 62, (2021), 737-744.
V. Rovenski and D.S. Patra: On non-gradient (m,\rho)-quasi-Einstein contact metric manifolds, Journal of Geometry, 112(1), (2021), 12.
A. Ali, F. Mofarreh, W.A. Mior Othman and D.S. Patra: Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms, Journal of Inequalities and Applications, 241, (2020).
D.S. Patra, A. Ghosh and A. Bhattacharyya: The Critical Point Equation on Kenmotsu and almost Kenmotsu manifolds, Publicationes Mathematicae, 97(1-2) (2020), 85-99.
D.S. Patra: Ricci solitons and paracontact geometry, Mediterranean Journal of Mathematics, 16, (2019), 137.
D.S. Patra: Ricci solitons and Ricci almost solitons on para-Kenmotsu manifold, Bulletin of the Korean Mathematical Society, 76(1), (2019), 1315-1325.
A. Ghosh and D.S. Patra: *-Ricci soliton within the frame-work of Sasakian and (k,\mu)-contact manifolds, International Journal of Geometric Methods in Modern Physics, 15(7), (2018). pp-1850120.
D.S. Patra and A. Ghosh : The Fischer-Marsden conjecture and contact geometry, Periodica Mathematica Hungarica, 76(1), (2018), 207-216.
A. Ghosh and D.S. Patra: Certain almost Kenmotsu metrics satisfying the Miao-Tam equation, Publicationes Mathematicae, 93(1-2), (2018), 107-123.
A. Ghosh and D.S. Patra: The k- almost Ricci solitons and contact geometry, Journal of the Korean Mathematical Society, 55(1), (2018), 161-174.
D.S. Patra: Arindam Bhattacharyya and Manjusha Tarafdar: The Fischer-Marsden solutions on almost coK\ddot{a}hler manifold, International Electronic Journal of Geometry, 10(3) (2017), 15-20.
A. Ghosh and D.S. Patra: The Critical point equation and Contact Geometry, Journal of Geometry, 108(1), (2017), 185-194.
D.S. Patra, A. Ghosh: Certain contact metrics satisfying Miao-Tam critical condition, Annales Polonici Mathematici, 116(3), (2016), 263-271.
Preprint: D.S. Patra and A. Ghosh: On \rho-Einstein almost solitons, under review.