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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 5, Pages 1176–1194 (Mi smj2039)  
This article is cited in 6 scientific papers (total in 6 papers)

Local audibility of a hyperbolic metric

V. A. Sharafutdinov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (382 kB) Citations (6)
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Abstract: 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.
Keywords: spectral geometry, Riemannian manifold of negative sectional curvature.
Received: 23.03.2009
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 5, Pages 929–944
DOI: https://doi.org/10.1007/s11202-009-0103-7
Bibliographic databases:
UDC: 515.168+517.984.5
Language: Russian
Citation: V. A. Sharafutdinov, “Local audibility of a hyperbolic metric”, Sibirsk. Mat. Zh., 50:5 (2009), 1176–1194; Siberian Math. J., 50:5 (2009), 929–944
Citation in format AMSBIB
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\paper Local audibility of a~hyperbolic metric
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:48
    First page:7
     
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