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Fundamental tone of minimal hypersurfaces with finite index in hyperbolic spaceopen access
- Authors
- Seo, Keomkyo
- Issue Date
- Apr-2016
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- minimal hypersurface; finite index; hyperbolic space; fundamental tone; eigenvalue
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2016, no.1
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2016
- Number
- 1
- ISSN
- 1025-5834
1029-242X
- Abstract
- 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) .
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