THE INDUCED AND INTRINSIC CONNECTIONS OF BERWALD TYPE IN A FINSLERIAN HYPERSURFACE

  • Ha Yong Park (Department of Mathematics, Kyungil University, Kyungsan 712-701, Korea) ;
  • Hong Suh Park (Department of Mathematics, Yeungnam University, Kyungsan 712-749, Korea)
  • Published : 1997.04.01

Abstract

The main purpose of the present paper is to derive the induced (Finsler) connections on the hypersurface from the Finsler connections of Berwald type (a Berwald h-recurrent connection and a $F\Gamma$' 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 quantities and relations with respect to the respective induced connections. Finally we show some examples.

Keywords

References

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