The Spectral Geometry of Einstein Manifolds with Boundary

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Let (M,g) be a compact Einstein manifold with smooth boundary. We consider the spectrum of the p form valued Laplacian with respect to a suitable boundary condition. We show that certain geometric properties of the boundary may be spectrally characterized in terms of this data where we fix the Einstein constant.
6Pages

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Differential Geometry, 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/67392

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305100
 http://arxiv.org/abs/math/0305100

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arXiv