On the invariant submanifolds of Riemannian product manifold


ATCEKEN M., Keles S.

ACTA MATHEMATICA SCIENTIA, cilt.24, ss.549-558, 2004 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 24 Konu: 4
  • Basım Tarihi: 2004
  • Dergi Adı: ACTA MATHEMATICA SCIENTIA
  • Sayfa Sayıları: ss.549-558

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.