Dr. Soma Maity

Assistant Professor, Mathematics

Email somamaity(AT)iisermohali.ac.in
Phone  
Fax +91 172 2240266
Personal Page
 
Research Area
 Riemannian Geometry (Ricci flow, Riemannian functionals)
Research Focus
 My research interests lie primarily in differential geometry and geometric analysis. In particular, I am interested in studying Riemannian functionals, geometric flows and their applications in geometry and topology. I have studied rigidity, stability and local minimizing properties of L^p norm of Riemannian curvature tensor at symmetric spaces. Recently I am interested in topology of non-compact manifolds admitting a complete metric with positive scalar curvature.

 

Selected Publications
  • On Wilking's Criterion for the Ricci flow, (with H. A. Gururaja, Harish Seshadri), Math. Z., Volume 274(2013), page 471-481.
  • On The Stability of The L^p-norm of The Riemannian Curvature Tensor, Proc. of Indian Acad. of Sci., Volume 124 (2014), no. 3, page 383-409.
  • Some unstable critical metrics for the L^{n/2} -norm of the Riemannian curvature tensor, (with Atreyee Bhattacharya) Mathematical Research Letters, Volume 21(2014), no. 2, page 1-6.