Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON COMPLEX FINSLER SPACES WITH RANDERS METRIC

  • Aldea, Nicoleta (FACULTY OF MATHEMATICS AND INFORMATICS TRANSILVANIA UNIVERSITY) ;
  • Munteanu, Gheorghe (FACULTY OF MATHEMATICS AND INFORMATICS TRANSILVANIA UNIVERSITY)
  • Published : 2009.09.01
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Abstract

In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to $K{\ddot{a}}ahler$-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.

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References

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