2002•arXiv (Cornell University)Open access
Eigenvalue estimates for submanifolds with locally bounded mean\n curvature
G. Pacelli Bessa, J. Fábio Montenegro
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Abstract
We give lower bounds for the first Dirichilet eigenvalues for domains in\nsubmanifolds with locally bounded mean curvatures. These bounds depend on the\ninjectivity radius, sectional curvature (upperbound) of the ambient space and\non the mean curvature of the submanifold. For submanifolds fo Hadamard\nmanifolds these lower bounds depend only on the dimension and mean curvature of\nthe submanifold.\n
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