Kaehlerian Finsler Manifolds

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概要

• 論文の詳細を見る

• 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.

• 徳島大学の論文
• 1995-02-20

著者

• Ichijyo Yoshihiro

  Department Of Mathematical Science Faculty Of Integrated Arts And Sciences The University Of Tokushi

関連論文

• On Some Structures Defined on Dominant Vector Bundles
• Conformally Flat Finsler Structures
• Kaehlerian Finsler Manifolds
• On the Conditions for a {V, H}-manifold to be Locally Minkowskian or Conformally Flat
• On the Finsler Connection Associated with a Linear Connection Satisfying P^h_=0
• Finsler Manifolds with a Linear Connection

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