A note on semi-symmetric spaces with metric F-connection


Özdemir F.

International Conference of Differential Geometry and Dynamical Systems (DGDS-2011), Bucharest, Romanya, 6 - 09 Ekim 2011, cilt.19, ss.100-109 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 19
  • Basıldığı Şehir: Bucharest
  • Basıldığı Ülke: Romanya
  • Sayfa Sayıları: ss.100-109
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work, we consider semi-symmetric spaces with metric F-connection and examine the curvature properties of the spaces having such a connection. We also several conditions for these spaces to have the same curvature with the Riemannian connection and to have conformally flat curvature. Furthermore, a special recurrent torsion tensor is found so that the space with F-connection becomes an Einstein space. Finally, a condition is given for every path of the connection to be a geodesic.