Mathematical Research Letters

Volume 1, Issue 2, March 1994 pp. 159-166.

The first eigenvalue of analytic level surfaces on spheres

Authors: Sagun Chanillo
Author institution: Rutgers University

Summary: In this paper we establish a lower bound for the first eigenvalue of the Laplace-Beltrami operator of the level set of a real valued real-analytic function defined on spheres. The question of existence of such a lower bound was posed by P.Cordaro and J.Hounie and arose in their work on local solvability of systems of vector fields [CH].

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