Local audibility of a hyperbolic metric | Zendy

Vladimir Sharafutdinov | Zendy

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Local audibility of a hyperbolic metric

Author(s) -

Vladimir Sharafutdinov

Publication year - 2009

Publication title -

siberian mathematical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.81

H-Index - 31

eISSN - 1573-9260

pISSN - 0037-4466

DOI - 10.1007/s11202-009-0103-7

Subject(s) - mathematics , metric (unit) , isospectral , sectional curvature , statement (logic) , constant (computer programming) , mathematical analysis , riemannian manifold , manifold (fluid mechanics) , pure mathematics , curvature , scalar curvature , geometry , computer science , mechanical engineering , operations management , political science , law , economics , programming language , engineering

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.

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