G. Santhanam

activity

19952018

most citedSharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue

12 citations · 15 across the 5 of their papers we have counts for

collaborators

5 papers

math.DG2018

On Eigenvalue Problems Related to the Laplacian in a Class of Doubly Connected Domains

Sheela Verma

We consider two eigenvalue problems for Laplacian on some specific doubly connected domain. In particular, we study the following two eigenvalue problems. Let $B_{1}$ be an open ball…

math.DG2012★ 12 cited

Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue

Binoy, G. Santhanam

In this paper we prove that given a volume, among all domains with smooth boundary in rank-1 symmetric spaces of noncompact type, geodesic balls maximizes the first nonzero Steklov…

math.DG2012

Sharp upper bound for the first eigenvalue

Binoy, G. Santhanam

Let $M$ be a closed hypersurface in a noncompact rank-1 symmetric space $(M ˉ, d s^{2})$ with $- 4 \leq K_{M ˉ} \leq - 1,$ or in a complete, simply connected R…

dg-ga1995★ 1 cited

The First Eigenvalue of $P$ -manifolds

Akhil Ranjan, G. Santhanam

Antonio Ros gave a lower bound for the first eigenvalue $λ_{1}$ of $Δ$ of a $P$ -manifold $(M, g)$ in terms of the lower bound on the Ricci curvature $R i c_{M}$ and asked what happened w…

dg-ga1995★ 2 cited

A Generalisation of Obata's theorem