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On Holomorphic Curvature of Complex Finsler Square Metric

On Holomorphic Curvature of Complex Finsler Square Metric
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摘要 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. 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.
出处 《Advances in Pure Mathematics》 2019年第9期745-761,共17页 理论数学进展(英文)
关键词 COMPLEX SQUARE METRIC HOLOMORPHIC Flag CURVATURE Riemannian CURVATURE Complex Square Metric Holomorphic Flag Curvature Riemannian Curvature
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