The Vranceanu Connections on The Riemannian (1,1)-Tensor Bundle
International Conference on Advances in Natural and Applied Sciences (ICANAS), Antalya, Türkiye, 21 - 23 Nisan 2016, cilt.1726, (Tam Metin Bildiri)
- 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.