Totally real submanifolds of an indefinite Kaehler manifold with a complex semi-symmetric metric connection

Yucesan A.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.33, pp.113-122, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33
  • Publication Date: 2008
  • Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.113-122
  • Süleyman Demirel University Affiliated: Yes

Abstract

We show that totally real submanifolds of an indefinite Kaehler manifold admitting a complex semi-symmetric metric connection admit a semi-symmetric metric connection. We also characterize the case where the Ricci tensor of this connection is symmetric, and give a necessary condition for conformal flatness of a submanifold in these circumstances.