Randers g.o.空间中的测地线图

IF 0.2 Q4 MATHEMATICS

Commentationes Mathematicae Universitatis Carolinae Pub Date : 2020-11-05 DOI:10.14712/1213-7243.2020.023

Dušek Zdeněk

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引用次数: 6

摘要

．将测地线图的概念从黎曼几何推广到芬斯勒几何，特别是推广到齐次兰德g.o.流形。在承认黎曼g.o.度量的修正h型群上，确定了不变的Randers g.o.度量，构造了这些Finsler g.o.流形中的测地线图。观察到测地线的新结构。

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Geodesic graphs in Randers g.o. spaces

. The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modiﬁed H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.

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来源期刊

Commentationes Mathematicae Universitatis Carolinae MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量