The Vranceanu Connections on The Riemannian (1,1)-Tensor Bundle

Altunbas M., GEZER A., Dogan E.

International Conference on Advances in Natural and Applied Sciences (ICANAS), Antalya, Türkiye, 21 - 23 Nisan 2016, cilt.1726 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1726
  • Doi Numarası: 10.1063/1.4945885
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Atatürk Üniversitesi Adresli: Evet

Özet

The present paper deals with Vranceanu connections associated with the Levi-Civita connections of the Sasaki type and Cheeger-Gromoll type metrics on the (1, 1) tensor bundle. Because of coinciding the Vranceanu connection associated with the Levi-Civita connection of the Sasaki type metric and the horizontal lift of the Levi-Civita connection of the base manifold's metric, we focus especially on the Vranceanu connection associated with the Levi-Civita connection of the Cheeger-Gromoll type metric.