1 citations · 4 across the 8 of their papers we have counts for
8 papers
Graph discretization of Laplacian on Riemannian manifolds with bounds on Ricci curvature
Anusha Bhattacharya, Soma Maity
We study the approximation of eigenvalues for the Laplace-Beltrami operator on closed Riemannian manifolds in the class , characterized by bounded Ricci curvature, a l…
Uniform Poincaré inequalities on measured metric spaces
Gautam Neelakantan Memana, Soma Maity
Consider a proper geodesic metric space equipped with a Borel measure We establish a family of uniform Poincaré inequalities on if it satisfies a local Poinc…
Stability of Quadratic curvature Functionals at product Einstein manifolds
Atreyee Bhattacharya, Soma Maity
In this paper, we study Riemannian functionals defined by -norms of Ricci curvature, scalar curvature, Weyl curvature, and Riemannian curvature. We try to understand stability…
On the stability of L^p-norms of Curvature Tensor at Rank one symmetrics spaces
Soma Maity
We study stability and local minimizing properties of - norms of Riemannian curvature tensor denoted by by variational methods. We compute the Hessian of $\mat…
Some Unstable Critical Metrics for -norm of the Curvature Tensor
Atreyee Bhattacharya, Soma Maity
We consider the Riemannian functional defined on the space of Riemannian metrics with unit volume on a closed smooth manifold given by $\mathcal{R}_{\frac{n}{2}}(g):= \int_M |R…
Stability of the L^p-Norm of the Curvature Tensor at Kahler Space Forms
Soma Maity
We consider the Riemannian functional defined on the space of Riemannian metrics with unit volume on a closed smooth manifold M given by where ,…
On The Stability of The L^p Norm of The Curvature Tensor
Soma Maity
We investigate stability and local minimizing properties of the Riemannian functional defined by the L^p norm of the curvature tensor on the space of Riemannian metrics on a closed…
On Wilking's criterion for the Ricci flow
H. A. Gururaja, Soma Maity, Harish Seshadri
B Wilking has recently shown that one can associate a Ricci flow invariant cone of curvature operators , which are nonnegative in a suitable sense, to every $Ad_{SO(n,\C)}$ i…