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The Spectral Geometry of Einstein Manifolds with Boundary

JeongHyeong Park
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Abstract

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.

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JeongHyeong Park. 2003-05-07. The Spectral Geometry of Einstein Manifolds with Boundary. https://arxiv.org/abs/math/0305100

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