Two theorems on invariant submanifolds of product Riemannian manifold


ATÇEKEN M., KELEŞ S.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.34, ss.1035-1044, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 7
  • Basım Tarihi: 2003
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.1035-1044

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.