The induced and intrinsic connections of cartan type in a Finslerian hypersurface

  • Park, Hong-Suh (Department of Mathematics, Yeungnam University) ;
  • Park, Ha-Yong (Department of Mathematics, Kyungpook Sanup University)
  • Published : 1996.04.01

Abstract

The main purposer of the present paper is to derive the induced (Finsler) connections on the hypersurface from the Finsler connections of Cartan type (a Wagner, Miron, Cartan C- and Cartan Y- connection) of a Finsler space and to seek the necessary and sufficient conditions that the induced connections coincide with the intrinsic connections. And we show the differences of quantities with respect to the respective a connections and an induced Cartan connection. Finally we show some examples.