A SHARP LOWER BOUND OF THE FIRST NEUMANN EIGENVALUE OF A COMPACT HYPERSURFACE INSIDE A CONVEX SET

초록

In this paper we provide a sharp lower bound of the first Neumann eigenvalue of a compact hypersurface ∑inside a convex set C in a Riemannian manifold under the assumption that ∂∑ meets ∂C orthogonally.

키워드