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CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

  • Park, Hong-Suh (Department of Mathematics, Yeungnam University) ;
  • Lee, Il-Yong (Division of Mathematical Sciences, Kyungsung University)
  • Published : 2003.05.01

Abstract

We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.

Keywords

Rizza manifold;conformal invariant Finsler connection;generalized non-linear connection;generalized Finsler metric;conformal flat;nearly Kaehlerian (G, M)-structure

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