Author(s)

Sarathi Mallappa Vanithalakshmi, Senajji Kampalappa Narasimhamurhthy^*, Mallappa Kariyappa Roopa

Department of Mathematics, Kuvempu University, Shimoga, India.

The notion of the holomorphic curvature for a Complex Finsler space (M,F) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. This paper is about the fundamental metric tensor, inverse tensor and as a special approach of the pull-back bundle is devoted to obtaining the holomorphic curvature of Complex Finsler Square metrics. Further, it proved that it is not a weakly Kähler.

Complex Square Metric, Holomorphic Flag Curvature, Riemannian Curvature

Vanithalakshmi, S. , Narasimhamurhthy, S. and Roopa, M. (2019) On Holomorphic Curvature of Complex Finsler Square Metric. Advances in Pure Mathematics, 9, 745-761. doi: 10.4236/apm.2019.99035.