On the invariant submanifolds of Riemannian product manifold

Küçük Resim Yok

Tarih

2004

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

Künye