球面上的大地测量轨道Randers度量

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2020-09-22 DOI:10.1515/ADVGEOM-2020-0015

Shaoxiang Zhang, Zaili Yan

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引用次数: 1

摘要

摘要研究了球面上的测地线轨道兰德斯度量，得到了这类度量的完整分类。我们的方法依赖于[17]中Sn球面上的测地线轨道黎曼度量的分类和Finsler几何中的导航数据。我们还构造了S2n+1上的显式U(n +1)不变度量和S4n+3上的Sp(n +1)U(1)不变度量。

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Geodesic orbit Randers metrics on spheres

Abstract Studying geodesic orbit Randers metrics on spheres, we obtain a complete classification of such metrics. Our method relies upon the classification of geodesic orbit Riemannian metrics on the spheres Sn in [17] and the navigation data in Finsler geometry. We also construct some explicit U(n + 1)-invariant metrics on S2n+1 and Sp(n + 1)U(1)-invariant metrics on S4n+3.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.