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

• 발행기관: 충청수학회
• 저자명: Keom kyo Seo
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 629~633쪽, 전체 5쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

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.

목차

1. Introduction

2. Proof of the main theorem

References