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- W2188964154 abstract "In this paper, we study normal homogeneous Finsler spaces. We first define the notion of a normal homogeneous Finsler space, using the method of isometric submersion of Finsler metrics. Then we study the geometric properties. In particular, we establish a technique to reduce the classification of normal homogeneous Finsler spaces of positive flag curvature to an algebraic problem. The main result of this paper is a classification of positively curved normal homogeneous Finsler spaces. It turns out that a coset space $G/H$ admits a positively curved normal homogeneous Finsler metric if and only if it admits a positively curved normal homogeneous Riemannian metric. We will also give a complete description of the coset spaces admitting non-Riemannian positively curved normal homogeneous Finsler spaces." @default.
- W2188964154 created "2016-06-24" @default.
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- W2188964154 date "2014-11-11" @default.
- W2188964154 modified "2023-10-13" @default.
- W2188964154 title "Normal homogeneous Finsler spaces" @default.
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- W2188964154 doi "https://doi.org/10.48550/arxiv.1411.3053" @default.
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