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THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY
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 Title & Authors
THE SPECTRAL GEOMETRY OF EINSTEIN MANIFOLDS WITH BOUNDARY
Park, Jeong-Hyeong;
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 Abstract
Let (M,g) be a compact m dimensional Einstein manifold with smooth boundary. Let ,B be the realization of the p form valued Laplacian with a suitable boundary condition B. Let Spec(,B) be the spectrum where each eigenvalue is repeated according to multiplicity. We show that certain geometric properties of the boundary may be spectrally characterized in terms of this data where we fix the Einstein constant.ant.
 Keywords
totally umbillic boundary;totally geodesic boundary;minimal boundary;absolute boundary conditions;relative boundary conditions;Dirichlet Laplacian;Neumann Laplacian.;
 Language
English
 Cited by
1.
Spectral geometry of eta-Einstein Sasakian manifolds, Journal of Geometry and Physics, 2012, 62, 11, 2140  crossref(new windwow)
2.
Multi- C ∗ $C^{*}$ -ternary algebras and applications, Journal of Inequalities and Applications, 2015, 2015, 1  crossref(new windwow)
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