When are the tangent sphere bundles of a Riemannian manifold reducible?
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- by E. Boeckx PDF
- Trans. Amer. Math. Soc. 355 (2003), 2885-2903 Request permission
Abstract:
We determine all Riemannian manifolds for which the tangent sphere bundles, equipped with the Sasaki metric, are local or global Riemannian product manifolds.References
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Additional Information
- E. Boeckx
- Affiliation: Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, 3001 Leuven, Belgium
- Email: eric.boeckx@wis.kuleuven.ac.be
- Received by editor(s): November 11, 2002
- Received by editor(s) in revised form: January 21, 2003
- Published electronically: March 14, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 2885-2903
- MSC (2000): Primary 53B20, 53C12, 53C20
- DOI: https://doi.org/10.1090/S0002-9947-03-03289-6
- MathSciNet review: 1975404