Geodesic orbit Randers metrics on spheres

IF 0.5 4区 数学 Q3 MATHEMATICS
Shaoxiang Zhang, Zaili Yan
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引用次数: 1

Abstract

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.
球面上的大地测量轨道Randers度量
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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来源期刊
Advances in Geometry
Advances in Geometry 数学-数学
CiteScore
1.00
自引率
0.00%
发文量
31
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.
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