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초록· 키워드
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Let (M,g) be a compact m dimensional Einstein manifold
with smooth boundary. Let ∆p,B be the realization of the p
form valued Laplacian with a suitable boundary condition B. Let
Spec(∆p,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.
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참고문헌 (6)
참고문헌 신청
/ 1968 / Complex powers of an elliptic operator 10
/ 1969 / Analytic extension of the trace associated with elliptic boundary problems 91
/ 1970 / Curvature and the fundamental solution of the at operator 34
/ 1990 / The asymptotics of the Laplacian on a manifold withboundary
/ 2003 / Asymptotic Formulae in Spectral Geometry
/ 1969 / Analytic extension of the trace associated with elliptic boundary problems 91
/ 1970 / Curvature and the fundamental solution of the at operator 34
/ 1990 / The asymptotics of the Laplacian on a manifold withboundary
/ 2003 / Asymptotic Formulae in Spectral Geometry
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