Two theorems on invariant submanifolds of product Riemannian manifold

Küçük Resim Yok

Tarih

2003

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Indian Nat Sci Acad

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper we discuss the distributions of a Riemannian almost-product structure in product Riemannian manifold. We show that an invariant submanifold of a product Riemannian manifold has a Riemannian almost-product structure, and investigate properties of integral manifold of distributions of Riemannian almost-product structure, i.e., pseudo-umbilical submanifold and curvature-invariant submanifold.

Açıklama

Anahtar Kelimeler

product Riemannian manifold, curvature-invariant submanifold, pseudo-umbilical submanifold, vertical and horizontal distributions

Kaynak

Indian Journal of Pure & Applied Mathematics

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

34

Sayı

7

Künye