Mathematical Research Letters

Volume 1 (1994)

Number 2

The first eigenvalue of analytic level surfaces on spheres

Pages: 159 – 166



Sagun Chanillo (Rutgers University)


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].

Full Text (PDF format)