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When are the tangent sphere bundles of a Riemannian manifold reducible?
Author(s):
E.
Boeckx
Journal:
Trans. Amer. Math. Soc.
355
(2003),
2885-2903.
MSC (2000):
Primary 53B20, 53C12, 53C20
Posted:
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.
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
DOI:
10.1090/S0002-9947-03-03289-6
PII:
S 0002-9947(03)03289-6
Keywords:
Tangent sphere bundle,
Sasaki metric,
reducibility,
Clifford structures,
foliations
Received by editor(s):
November 11, 2002
Received by editor(s) in revised form:
January 21, 2003
Posted:
March 14, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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