The Holomorphic Bisectional Curvature of the Complex Finsler Spaces
نویسندگان
چکیده
The notion of holomorphic bisectional curvature for a complex Finsler space (M, F ) is defined with respect to the Chern complex linear connection on the pull-back tangent bundle. By means of holomorphic curvature and holomorphic flag curvature of a complex Finsler space, a special approach is emloyed to obtain the characterizations of the holomorphic bisectional curvature. For the class of generalized Einstein complex Finsler spaces some results concerning the holomorphic bisectional curvature are also given. AMS Mathematics Subject Classification (2000): 53B40, 53C60
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