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Almost All Finsler Metrics have Infinite Dimensional Holonomy Group
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2020-09-24 , DOI: 10.1007/s12220-020-00517-9
B. Hubicska , V. S. Matveev , Z. Muzsnay

We show that the set of Finsler metrics on a manifold contains an open everywhere dense subset of Finsler metrics with infinite-dimensional holonomy groups.



中文翻译:

几乎所有Finsler度量都有无限维完整组

我们证明流形上的Finsler度量标准集包含具有无限维整齐性组的Finsler度量标准的一个开放的,密集的子集。

更新日期:2020-09-24
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