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Concept information

mathematical physics > spectral geometry
geometry > differential geometry > Riemannian geometry > spectral geometry
mathematical analysis > functional analysis > spectral theory > spectral geometry
algebra > linear algebra > spectral theory > spectral geometry

Terme préférentiel

spectral geometry  

Définition(s)

  • Spectral geometry is a field in mathematics which concerns relationships between geometric structures of manifolds and spectra of canonically defined differential operators. The case of the Laplace–Beltrami operator on a closed Riemannian manifold has been most intensively studied, although other Laplace operators in differential geometry have also been examined. The field concerns itself with two kinds of questions: direct problems and inverse problems.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Spectral_geometry)

Concept(s) générique(s)

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URI

http://data.loterre.fr/ark:/67375/PSR-J410TM8K-8

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RDF/XML TURTLE JSON-LD Date de création 30/06/2023, dernière modif. 30/06/2023