2.6. Unit Vector Fields

Let ( M, g) be an n-dimensional compact orientable Riemannian manifold and B978012415826900002X/si600.gif is missing the tangent sphere bundle over M i.e.,
B978012415826900002X/si602.gif is missing
Any smooth cross-section U in the tangent sphere bundle B978012415826900002X/si604.gif is missing is a unit vector field on M i.e., B978012415826900002X/si606.gif is missing and B978012415826900002X/si607.gif is missing everywhere on M. As ...

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