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


Yucesan A.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.33, ss.113-122, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33
  • Basım Tarihi: 2008
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.113-122
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

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.