Mathematical Research Letters
Volume 1 (1994)
The first eigenvalue of analytic level surfaces on spheres
Pages: 159 – 166
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].