On the invariant submanifolds of Riemannian product manifold
Küçük Resim Yok
Tarih
2004
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the vertical and horizontal distributions of an invariant sub-manifold of a Riemannian product manifold are discussed. An invariant real space form in a Riemannian product manifold is researched. Finally, necessary and sufficient conditions are given on an invariant sub-manifold of a Riemannian product manifold to be a locally symmetric and real space form.
Açıklama
Anahtar Kelimeler
Riemannian product manifold, mixed geodesic submanifold, real space form and almost Riemannian product structure
Kaynak
Acta Mathematica Scientia
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
24
Sayı
4