On a class of Riemannian metrics arising from Finsler structures (Q2431135)

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On a class of Riemannian metrics arising from Finsler structures
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    On a class of Riemannian metrics arising from Finsler structures (English)
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    11 April 2011
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    A class of Riemannian metrics \(G\), generalizing the classical Sasaki metric, is considered on the slit tangent bundle \(TM_0\) of a Finsler manifold \((M, F)\) and its geometry is characterized in terms of Finsler quantities. A main result is Theorem 5: The Finsler manifold \((M, F)\) is Landsberg if and only if the vertical foliation is totally geodesic in \((TM_0, G)\).
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    Finsler metric
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    foliation
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