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edited Sep 11, 2015 at 7:22

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Retract embedding of $S^{n}$ in its unit tangent bundle

Acording to the comment of Mark Grant and the answer of Ryan Budney, I revise the question:

For what even $n$, there is a retract embedding of of $S^n$ in its unit tangent bundle?

at.algebraic-topology gn.general-topology smooth-manifolds

asked Sep 11, 2015 at 6:16

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