대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권2호
  • /
  • Pages.383-391
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 1997.04.01
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초록

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.

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참고문헌

  1. Rep. Fac. Sci., Kagoshima Univ.(Math., Phys., Chem.) v.17 On generalized Berwald connections T. Aikou;M. Hashiguchi
  2. J. Math. Kyoto Univ. v.25 The induced and intrinsic Finsler connections of a hypersurface and Finslerian projective geometry M. Matsumoto
  3. Lecture notes, Yeungnam Univ. Introduction to Finsler geometry M. Matsumoto
  4. Foundations of Finsler geometry and special Finsler spaces M. Matsumoto
  5. Tensor, N. S. v.32 A conclusive theorem on C-reducible Finsler spaces M. Matsumoto;S. Hojo
  6. J. Math. Kyoto Univ. v.22 Minkowskian product of Finsler spaces and Berwald connection T. Okada
  7. Comm. Korean Math. Soc. v.11 The induced and intrinsic connections of Cartan type in a Finslerian hypersurface H. S. Park;H. Y. Park
  8. Lecture notes, Yeungnam Univ. Finsler spaces and generalized Finsler spaces S. Watanabe