The Spectral Geometry of Einstein Manifolds with Boundary

Details The Spectral Geometry of Einstein Manifolds with Boundary The Spectral Geometry of Einstein Manifolds with Boundary

2003-05-07

arxiv.org/abs/math/0305100v2

Mathematics

Differential Geometry

6Pages

Scientific paper

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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