Naturality of homogeneous metrics on Stiefel manifolds SO(m+1)/SO(m-1)

被引：15

作者：

Abbassi, Mohamed Tahar Kadaoui ^{[2
]}

Kowalski, Oldrich ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic

[2] Univ Sidi Mohamed Ben Abdallah, Fac Sci Dhar El Mahraz, Dept Math, Fes, Fes, Morocco

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2010年 / 28卷 / 02期

关键词：

Unit tangent (sphere) bundle; g-natural metric; TANGENT SPHERE BUNDLES; UNIT VECTOR-FIELDS; CURVATURE; VOLUME; ENERGY;

D O I：

10.1016/j.difgeo.2009.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that the unit tangent sphere bundle T1Sm of the standard sphere S-m can be naturally identified with the Stiefel manifold V2Rm+1 = SO(m + 1)/SO(m - 1). In this paper, we construct the (1-1) correspondence between all SO(m + 1)-invariant homogeneous metrics oil V2Rm+1 and all so-called g-natural metrics oil T1Sm. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：131 / 139

页数：9

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