SPECTRUM OF AN EINSTEIN-LIKE MANIFOLD

Sharief Deshmukh (Saudi Arabia)

Received March 31, 2008; Revised April 20, 2008

Abstract

In this paper, we obtain a lower bound for the nonzero eigenvalues of Laplacian operator on a compact Einstein-like manifold (Riemannian manifold with parallel Ricci tensor) similar to Simon’s result [9].

Keywords and phrases: Ricci curvature, eigenvalues, eigenfunctions, Laplacian operator.