TITLE:
On Holomorphic Curvature of Complex Finsler Square Metric
AUTHORS:
Sarathi Mallappa Vanithalakshmi, Senajji Kampalappa Narasimhamurhthy, Mallappa Kariyappa Roopa
KEYWORDS:
Complex Square Metric, Holomorphic Flag Curvature, Riemannian Curvature
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.9,
September
16,
2019
ABSTRACT: 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.