Year: 2012
Type: preprint
Abstract: Let $M$ be a closed hypersurface in a noncompact rank-1 symmetric space $(\bar{\mathbb{M}}, ds^2)$ with $-4 \leq K_{\bar{\mathbb{M}}} \leq -1,$ or in a complete, simply connected Riemannian manifold $\mathbb{M}$ such that $0 \leq K_{\mathbb{M}} \leq δ^2$ or $K_{\mathbb{M}} \leq k$ where $k = -δ^2$ or 0. In this paper we give sharp upperbounds for the first eigenvalue of laplacian of $M$.
Source: arXiv (Cornell University)
Authors: Binoy, Santhanam, G.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952545133