When are the tangent sphere bundles of a Riemannian manifold reducible?-Reference-Cited by-同舟云学术

When are the tangent sphere bundles of a Riemannian manifold reducible?

Published:2003-03-14 Issue:7 Volume:355 Page:2885-2903
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Boeckx E.

Abstract

We determine all Riemannian manifolds for which the tangent sphere bundles, equipped with the Sasaki metric, are local or global Riemannian product manifolds.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2003-355-07/S0002-9947-03-03289-6/S0002-9947-03-03289-6.pdf

Reference10 articles.

1. Clifford modules;Atiyah, M. F.;Topology,1964

2. J. Berndt, E. Boeckx, P. Nagy and L. Vanhecke, Geodesics on the unit tangent bundle, preprint, 2001.

3. Lecture Notes in Mathematics;Berndt, Jürgen,1995

4. E. Boeckx and G. Calvaruso, When is the unit tangent sphere bundle semi-symmetric?, preprint, 2002.

5. Characteristic reflections on unit tangent sphere bundles;Boeckx, E.;Houston J. Math.,1997

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Naturality of homogeneous metrics on Stiefel manifolds SO(m+1)/SO(m−1);Differential Geometry and its Applications;2010-04

2. Riemannian Geometry of Contact and Symplectic Manifolds;Progress in Mathematics;2010

3. NOTES ON TANGENT SPHERE BUNDLES OF CONSTANT RADII;Journal of the Korean Mathematical Society;2009-11-01

4. η-EINSTEIN TANGENT SPHERE BUNDLES OF CONSTANT RADII;International Journal of Geometric Methods in Modern Physics;2009-09

5. When are the tangent sphere bundles of a Riemannian manifold η-Einstein?;Annals of Global Analysis and Geometry;2009-03-13