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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 33
  • Basım Tarihi: 2008
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.113-122

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.