Almost All Finsler Metrics have Infinite Dimensional Holonomy Group
نویسندگان
چکیده
منابع مشابه
Characterization of projective Finsler manifolds of constant curvature having infinite dimensional holonomy group
In this paper we prove that the holonomy group of a simply connected locally projectively flat Finsler manifold of constant curvature is a finite dimensional Lie group if and only if it is flat or it is Riemannian. In particular, the holonomy group of non-Riemannian projective Finsler manifolds of nonzero constant curvature is infinite dimensional.
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2020
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-020-00517-9