Some local eigenvalue estimates involving curvatures |
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Authors: | Mouhamed Moustapha Fall |
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Institution: | 1.Sissa,Trieste,Italy |
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Abstract: | We first establish a local Faber–Krahn isoperimetric comparison in terms of scalar curvature pinching. Secondly we derive
estimates of Cheeger constants related to the Dirichlet and Neumann problems via the (relative) isoperimetric profiles which
allow us to obtain, in particular, lower bounds for first non-zero eigenvalues of the problem of Dirichlet and Neumann. These
estimates involve scalar curvature and mean curvature respectively. |
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Keywords: | |
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