Local audibility of a hyperbolic metric

Springer Science and Business Media LLC - Tập 50 - Trang 929-944 - 2009
Vladimir A. Sharafutdinov1
1Sobolev Institute of Mathematics, Novosibirsk, Russia

Tóm tắt

A Riemannian metric g on a compact boundaryless manifold is said to be locally audible if the following statement is true for every metric g′ sufficiently close to g: if g and g′ are isospectral then they are isometric. The local audibility is proved of a metric of constant negative sectional curvature.

Tài liệu tham khảo

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