Boundary rigidity for Riemannian manifolds
Yükleniyor...
Dosyalar
Tarih
2003
Yazarlar
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.