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- W228886183 abstract "In the present paper, continued the preceding paper [10], we are mainly concerned with a Kaehlerian Finsler manifold (M, f, g). First, in the Kaehlerian Finsler manifold, we define a generalized Finsler metric g^^～ by g^^～=(g+^tfgf)/2. We investigate the relation between the Finsler metric g, the generalized Finsler metric g^^～, the complex structure f and several Finsler connections derived from g and g^^～. In consequence of it, we obtain that the Kaehlerian Finsler manifold is a Landsberg space and the generalized Finsler metric g^^～ can be regarded as a real representation of a complex Finsler metric in a sense. Finally we find a necessary and sufficient condition for an Hermitian structure on the tangent bundle over a Kaehlerian Finsler manifold to be a Kaehler structure." @default.
- W228886183 created "2016-06-24" @default.
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- W228886183 date "1995-02-20" @default.
- W228886183 modified "2023-10-17" @default.
- W228886183 title "Kaehlerian Finsler Manifolds" @default.
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