Boundary rigidity for Riemannian manifolds

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Küçük Resim

Tarih

2003

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In the work question of the uniqueness of the solution of the problem of restoring the Riemannian metric by the distances between the pairs of the points of boundary of the region are investigated.The uniqueness of solution of the problem, up to the diffeomorphism identical on the boundary of the region, for the sufficiently wide class of the metrics is proven.

Açıklama

Anahtar Kelimeler

Hodograph, Special kinetic equation, Özel kinetik denklem, Integral geometri problemi, Integral geometry problem, Ters kinematik problem, Inverse kinematic problem, Semiyodezik koordinatlar, Semigeodesic coordinates

Kaynak

Selcuk Journal of Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

4

Sayı

Künye

Amirov, A. (2003). Boundary rigidity for Riemannian manifolds. Selcuk Journal of Applied Mathematics, 4 (2), 5-12.