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arXiv · 1812.11938

An equivalence theorem of a class of Minkowski norms and its applications

Huitao Feng·Yuhua Han·Ming Li
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Abstract

In this paper, the Cartan tensors of the $(\alpha,\beta)$-norms are investigated in details. Then an equivalence theorem of $(\alpha,\beta)$-norms is proved. As a consequence in Finsler geometry, general $(\alpha,\beta)$-metrics on smooth manifolds of dimension $n\geq4$ with vanishing Landsberg curvatures must be Berwald manifolds.

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Huitao Feng, Yuhua Han, Ming Li. 2018-12-31. An equivalence theorem of a class of Minkowski norms and its applications. https://arxiv.org/abs/1812.11938

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