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

Boeckx, E.

doi:10.1090/S0002-9947-03-03289-6

When are the tangent sphere bundles of a Riemannian manifold reducible?
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by E. Boeckx

Trans. Amer. Math. Soc. 355 (2003), 2885-2903

DOI: https://doi.org/10.1090/S0002-9947-03-03289-6

Published electronically: March 14, 2003

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Abstract:

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

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