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Fastriemannsche Finslersche Metriken

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Abstract

We regard special Finsler manifolds which are almost Riemannian. These Finsler metrics allow to construct globally an osculating Riemannian metric with a LEVI-CIVITA connection that can be well described by Finslerian invariants. An application of this concept will be given in a paper about the “pinching problem”, which will be published soon. For locally almost euclidian metrics we proof generalisations of the comparison theorem of RAUCH and the theorem of SHIKATA.

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Saarstr. 21, 65 Mainz

    Jürgen Kern

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  1. Jürgen Kern
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Additional information

Diese Arbeit beruht auf meiner Dissertation (Mainz 1970) und wurde unterstützt von der Deutschen Forschungsgemeinschaft.

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Kern, J. Fastriemannsche Finslersche Metriken. Manuscripta Math 4, 285–303 (1971). https://doi.org/10.1007/BF01190282

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  • DOI: https://doi.org/10.1007/BF01190282

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