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http://dx.doi.org/10.4134/JKMS.2009.46.5.949

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)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 949-966 More about this Journal
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.
Keywords
complex Finsler spaces; Randers spaces;
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Times Cited By Web Of Science : 9  (Related Records In Web of Science)
Times Cited By SCOPUS : 12
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