Research Interest

• Riemannian Geometry

• Geometric Analysis

• Algebraic Topology

Currently, I am interested in Gromov–Hausdorff convergence.

Publications

1. Mondal, C. K., Integral Liouville theorem in a complete Riemannian manifold, Balkan J. Geom. Appl., 23(2) (2018) 56-66. (Jointly with A. A. Shaikh).

2. Mondal, C. K., Some results on phi-convex functions and geodesic phi-convex functions, Diff. Geom. Dyn. Sys., 20 (2018) 159-170. (Jointly with A. A. Shaikh, A. Iqbal).

3. Mondal, C. K., A note on convex sets in a complete Riemannian manifold, Bulletin Univ. Transilvania Brasov, 11(60)(2) (2018) 119-124. (Jointly with A. A. Shaikh, A. Iqbal).

4. Mondal, C. K.  Non-existence of certain type of convex functions on a Riemannian manifold with a pole,  J. Geom. Phys. 140 (2019)  104-110. (Jointly with A. A. Shaikh, I, Ahmad).

5. Mondal, C. K., On locally phi-semisymmetric Sasakian manifolds,  Hacettepe J. Math. Stat.  48(8) (2019) 1156-1169.(Jointly with A. A. Shaikh, H. Ahmad).

6. Mondal, C. K.  Some results in η-Ricci Soliton and gradient ρ-Einstein soliton in a complete Riemannian manifold, Comm. Korean. Math. Soc. 34(4) (2019) 1279-1287. (Jointly with A. A. Shaikh).

7. Mondal, C. K.  Geodesic Sandwich Theorem with an Application,  Math. Inequal. Appl. 23(1) (2020)161-167. (Jointly with A. A. Shaikh and R. P. Agarwal).

8. Mondal, C. K.  An interior fixed point property of a convex domain in a Riemannian manifold with a pole,  Diff. Geom. Dyn. Sys. 22 (2020) 250-253. (Jointly with A. A. Shaikh).

9. Mondal, C. K. On Ricci solitons whose potential is convex, Proc. Indian Acad. Sci. (Math. Sci.) 130 (2020)  1-7.   (Jointly with A. A. Shaikh).

10. Mondal, C. K.  Some properties of geodesic (α,E)-preinvex functions on a Riemannian manifold, Khayyam J. Math.  7(2) (2021)  201-210 (Jointly with A. A. Shaikh and R. P. Agarwal).

11. Mondal, C. K. Compact gradient ρ-Einstein soliton is isometric to the Euclidean sphere,  Indian J. Pure Appl. Math. 52 (2) (2021) 335-339 (Jointly with A. A. Shaikh, P. Mandal).

12. Mondal, C. K. Isometry theorem of gradient Shrinking Ricci solitons,  J. Geom. Phys.  163 (2021)  104110. (Jointly with A. A. Shaikh).

13. Mondal, C. K. Diameter estimation of gradient ρ-Einstein solitons, J. Geom. Phys. 177 (2022) 104518. (Jointly with A. A. Shaikh, P. Mandal).

14. Mondal, C. K. Characterization of the potential function of a Ricci soliton. Proc. Indian Acad. Sci. (Math. Sci.) 133(6)  (2023), doi.org/10.1007/s12044-023-00727-5 .

15. Mondal, C. K. Finite global norm of potential vector field in Ricci soliton, Proc. Nat. Acad. Sci. India Sect. A . 93 (2023), 671-674, doi.org/10.1007/s40010-023-00839-7 (Jointly with A. A. Shaikh, P. Mandal).

16. Mondal, C. K.  A note on the isoperimetric inequality in the plane,  Palestine J. Math. 12(2)  (2023), 366-370 (Jointly with A. A. Shaikh).

17. Mondal, C. K. m-quasi Einstein manifolds with Subharmonic potential function, FILOMAT, 37(29) (2023), 10125–10131. (Jointly with A. A. Shaikh, P. Mandal, A. Ali).

18. Mondal, C. K. Diameter estimation of (m,\rho)-quasi Einstein manifolds, Proc. Nat. Acad. Sci. India Sect. A,  94(5) (2024), 513-518. (Jointly with A. A. Shaikh, P. Mandal).

19. Mondal, C. K. Splitting theorem of Gradient $\rho$-Einstein solitons, Afr. Mat., 36 (2025), 66. (Jointly with A. A. Shaikh, P. Mandal).

20. Mondal, C. K. Shrinking Ricci solitons and homology n-spheres, J. Math. Ann. Appl., 550(2) (2025), https://doi.org/10.1016/j.jmaa.2025.129560

21. Mondal, C. K. Scalar curvature estimation of Generalized Ricci-Yamabe soliton, Indian J Pure Appl Math (2025). https://doi.org/10.1007/s13226-025-00781-x.

Project

• Minor research project on "An investigation of some geometrical and topological properties of Ricci soliton in a manifold", funded by Netaji Subhas Open University (Status: Completed 2022-2023)

• Minor research project on "An investigation of Fundamental Groups of Ricci solitons", funded by Netaji Subhas Open University (Status: Ongoing 2024-2025)

Workshops/ Seminars

1. Paper presented in the National Conference on Emerging Trends in Mathematics and its Applications (NCETMAA-2025) Sep-11-12, 2025, organized by Kalynai University.

2. Paper presented in the International Seminar on Topology, Algebra and Applications (ISTAA-2024), 12-14 March, 2024, organized by NBU.

3. Paper presented in the National Seminar on Hypatian Voices: A Gynocentric National Seminar on Mathematical Sciences, 16-17 March, 2023, organized by NBU and IWM.

4. Successfully completed Faculty Development Programme: 21 June-05 July 2022, Ramanujan College.

5. Paper presented in the International Webinar on Recent Trends of Mathematical Science (IWRTMS 2022), 25-26 Feb, 2022, organized by Calcutta Mathematical Society.

6. Successfully completing the Faculty Induction Programme: 06th July-26th July, 2021, Organized by Mizoram University HRDC.

7. Successfully completing the NSOU FDP-MOOC course: 19th May-2nd June, 2021, Organized by Netaji Subhas Open University.

8. Attended the Workshop for Preparation of Question Papers (MCQ) (8th May 2021) organized by NSOU.

9. Paper presented in International Webinar on Mathematics and Applications (IWMA-2020)  September 25-27, 2020, organized by the department of Mathematics, University of Burdwan.

10. Organizing Secretary of NSOU online special lecture series in Mathematics 2020, School of Sciences, NSOU.

11. Paper presented in Ithe nternational Conference of Differential Geometry and Dynamical Systems (DGDS 2020), 27-29 August 2020, organized by University Polithehnica of Bucharest and the Balkan Society of Geometers (Romania).

12. Conference-"National Seminar on Recent trends in Mathematical sciences", Burdwan University,  06-07 Feb, 2019.

13. Conference-"National conference on Mathematical analysis and Mathematical Modelling ", Calcutta Mathematical Society, 07-08 Dec, 2018.

14. Workshop in "Topology of Manifolds and Group Actions"- ATM School, University of Delhi, 9th – 22nd  Nov, 2017.

15. Conference- " International Conference on Topology and Geometry"- University of Delhi, 23th-24th Nov, 2017.

16. A note on the isoperimetric inequality in the plane- Presented in ICEAMS-2017, University of Gour Banga.

17. Complex Analysis and Topology- ATM School, TEW- (2014).