A first eigenvalue estimate for embedded hypersurfaces |
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| Authors: | Pak Tung Ho |
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| Institution: | Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067, USA |
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| Abstract: | Suppose that M is a compact orientable hypersurface embedded in a compact n-dimensional orientable Riemannian manifold N. Suppose that the Ricci curvature of N is bounded below by a positive constant k. We show that 2λ1>k−(n−1)maxM|H| where λ1 is the first eigenvalue of the Laplacian of M and H is the mean curvature of M. |
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| Keywords: | 53C42 |
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