• Title, Summary, Keyword: complex Berwald manifold

Search Result 3, Processing Time 0.031 seconds

ON THE BERWALD'S NEARLY KAEHLERIAN FINSLER MANIFOLD

  • Park, Hong-Suh;Lee, Hyo-Tae
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.3
    • /
    • pp.649-658
    • /
    • 1994
  • 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.

  • PDF

Finsler Metrics Compatible With A Special Riemannian Structure

  • Park, Hong-Suh;Park, Ha-Yong;Kim, Byung-Doo
    • Communications of the Korean Mathematical Society
    • /
    • v.15 no.2
    • /
    • pp.339-348
    • /
    • 2000
  • We introduce the notion of the Finsler metrics compat-ible with a special Riemannian structure f of type (1,1) satisfying f6+f2=0 and investigate the properties of Finsler space with them.

  • PDF