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학술저널

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

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In this paper we provide a sharp lower bound of the ¯rst Neumann eigenvalue of a compact hypersurface § inside a con- vex set C in a Riemannian manifold under the assumption that @§ meets @C orthogonally.

1. Introduction

2. Proof of the main theorem

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