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EIGENVALUE ESTIMATES FOR STABLE MINIMAL HYPERSURFACES
- Authors
- Seo, Keomkyo
- Issue Date
- Jan-2012
- Publisher
- ELEMENT
- Keywords
- Stability; minimal hypersurface; first eigenvalue; Yamabe invariant
- Citation
- MATHEMATICAL INEQUALITIES & APPLICATIONS, v.15, no.1, pp 69 - 75
- Pages
- 7
- Journal Title
- MATHEMATICAL INEQUALITIES & APPLICATIONS
- Volume
- 15
- Number
- 1
- Start Page
- 69
- End Page
- 75
- ISSN
- 1331-4343
- Abstract
- In this article we provide estimates on the first eigenvalue of stable minimal hypersurfaces in a Riemannian manifold with sectional curvature bounded from below and above by negative constants. We also obtain a lower bound of the total scalar curvature of a stable minimal hypersurface if the scalar curvature of the ambient space is positive.
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