Aydin Gezer[a] and Erkan Karakaş[b]
On a semi-symmetric metric connection on the tangent bundle with the complete lift metric
Received: 8 March 2018
Accepted in revised version: 25 May 2018
Mathematics Subject Classification (2010): 53B20, 53C07, 53C35.
Keywords: Semi-symmetric metric connection, tangent bundle, complete lift metric.
[a], [b]: Ataturk University, Faculty of Science, Department of Mathematics, 25240, Erzurum-Turkey
Abstract: In this paper, we define a semi-symmetric metric connection on the tangent bundle equipped with complete lift metric. We compute the curvature tensors of this connection and study their properties. Also we investigate conditions for the tangent bundle to be locally conformally flat with respect to this connection.