On infinitesimal \(h\)-conformal motions of Finsler metric (Q1901339)

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scientific article; zbMATH DE number 813846
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On infinitesimal \(h\)-conformal motions of Finsler metric
scientific article; zbMATH DE number 813846

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    On infinitesimal \(h\)-conformal motions of Finsler metric (English)
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    8 November 1995
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    An infinitesimal conformal motion of a Finsler space \(F_n\) (characterized by \(L_x g_{ij} = 2 \phi (x) g_{ij}\)) is called \(h\)- conformal if \(\partial \phi\over \partial x^j\) satisfies the ``\(h\)- condition'' [see \textit{H. Izumi}, Tensor, New Ser. 34, 337-359 (1980; Zbl 0465.53018)]. In this paper infinitesimal \(h\)-conformal motions are applied to \(F_n\) with recurrent Berwald curvature tensor as well as to Landsberg spaces and \(^*P\)-spaces.
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    Finsler geometry
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    conformal motion
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