상세 보기
Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space
Citations
WEB OF SCIENCE
0Citations
SCOPUS
0초록
Let M be a complete minimal hypersurface in hyperbolic space Hn+1 (-1) with constant sectional curvature -1. We prove that if M has a finite index and finite L-2 norm of the second fundamental form, then the fundamental tone lambda(1)(M) is bounded above by n(2) .
키워드
minimal hypersurface; finite index; hyperbolic space; fundamental tone; eigenvalue; BOUNDED MEAN-CURVATURE; RIEMANNIAN-MANIFOLDS; SUBMANIFOLDS; INEQUALITIES; SURFACES
- 제목
- Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space
- 저자
- Seo, Keomkyo
- 발행일
- 2016-04
- 유형
- Article
- 권
- 2016
- 호
- 1