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  • 1
    Electronic Resource
    Electronic Resource
    Hypersurfaces of semi-C-reducible and S4-like Finsler spaces (1983)
    Springer
    Periodica mathematica Hungarica 14 (1983), S. 81-91 
    Details
    ISSN: 1588-2829
    Keywords: Primary 53B40 ; Finsler spaces ; hypersurfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The notions of semi C-reducible and S4-like Finsler spaces have been introduced by Matsumoto and Shibata ([6]). The object of the present paper is to study some properties of the hypersurfaces immersed in semi-C-reducible and S4-like Finsler spaces. It has been proved that a hypersurface of semi-C-reducible Finsler space is a semi-C-reducible while the condition, under with a hypersurface of S4-like Finsler space will be a S-4like space, has been obtained. The condition under which a hypersurface of semi-C-reducible Landsberg space will be a Landsberg space has also been obtained. After using the so called “T-condition” (Matsumoto [5]) we have discussed the condition under which a hypersurface of a semi-C-reducible Finsler spaceF n satisfying T-condition will also satisfy T-condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02023585
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  • 2
    Electronic Resource
    Electronic Resource
    On conformal transformations of kropina metric (1985)
    Springer
    Periodica mathematica Hungarica 16 (1985), S. 187-192 
    Details
    ISSN: 1588-2829
    Keywords: Primary 53B40 ; Secondary 53C20, 53C60 ; Finsler spaces ; Kropina spaces ; conformal transformations ; difference tensor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract M. Hashiguchi [3] has studied the conformal theory of Finsler spaces. The theory of Kropina metric was investigated by L. Berwald [1] and V. K. Kropina [4]. The purpose of the present paper is to establish the conformal theory of Kropina metric. In this paper the transformation formulae for the difference tensor D ik i (x, $$\dot x$$ ) and Cartan's connection coefficients Γ k *i (x, $$\dot x$$ ) have been obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01849841
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    Paper (German National Licenses)
    Fulltext
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