Korean Journal of Mathematics

  • 제17권1호
  • /
  • Pages.1-13
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  • 2009
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

ISOMETRIC IMMERSIONS OF FINSLER MANIFOLDS

  • Lee, Nany (Department of Mathematics The University of Seoul) ;
  • Won, Dae Yeon (Department of Mathematics Duksung Women's University)
  • 투고 : 2008.12.23
  • 발행 : 2009.03.30
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초록

For an isometric immersion $f:M{\rightarrow}{\bar{M}}$ of Finsler manifolds M into $\bar{M}$, we compare the intrinsic Chern connection on M and the induced connection on M: We find the conditions for them to coincide and generalize the equations of Gauss, Ricci and Codazzi to Finsler submanifolds. In case the ambient space is a locally Minkowskian Finsler manifold, we simplify the above equations.

키워드

참고문헌

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