ON THE BERWALD'S NEARLY KAEHLERIAN FINSLER MANIFOLD

  • Park, Hong-Suh (Department of Mathematics, Yeungnam University, Gyongsan 712-749) ;
  • Lee, Hyo-Tae (Kyungpook Sanup University, Taegu 701-702)
  • Published : 1994.07.01

Abstract

The notion of the almost Hermitian Finsler manifold admitting an almost complex structure $f^i_j(x)$ was, for the first time, introduced by G. B. Rizza [8]. It is known that the almost Hermitian Finsler manifold (or a Rizza manifold) has been studied by Y. Ichijyo [2] and H. Hukui [1]. In those papers, the almost Hermitian Finsler manifold which the h-covariant derivative of the almost complex structure $f^i_j(x)$ with respect to the Cartan's Finsler connection vanishes was defined as the Kaehlerian Finsler manifold. The nearly Kaehlerian Finsler manifold was defined and studied by the former of authors [7]. The present paper is the continued study of above paper.

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