Two theorems on invariant submanifolds of product Riemannian manifold

ATÇEKEN M., KELEŞ S.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.34, sa.7, ss.1035-1044, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 7
  • Basım Tarihi: 2003
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1035-1044
  • İnönü Üniversitesi Adresli: Evet

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.