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On Holomorphic Curvature of Complex Finsler Square Metric
Department of Mathematics, Kuvempu University, Shimoga, India
Department of Mathematics, Kuvempu University, Shimoga, India
Department of Mathematics, Kuvempu University, Shimoga, India
- 1 Department of Mathematics, Kuvempu University, Shimoga, India
- 2 Department of Mathematics, Kuvempu University, Shimoga, India
- 3 Department of Mathematics, Kuvempu University, Shimoga, India
Advances in Pure Mathematics·Volume 09 (2019)·Pages 745–761·Published 16 September 2019·DOI10.4236/apm.2019.99035
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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 K ä hler.
KeywordsComplex Square MetricHolomorphic Flag CurvatureRiemannian Curvature
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