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Some sharp Hodge Laplacian and Steklov eigenvalue estimates for differential forms (1207.3999v2)

Published 17 Jul 2012 in math.DG

Abstract: We give some sharp lower bounds of the first eigenvalue for the Hodge Laplacian acting on differential forms on the boundary of a Riemannian manifold. We also give some sharp estimates for the first nonzero Steklov eigenvalue for differential forms.

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