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#unit_tangent_bundle

Unit tangent bundle

In Riemannian geometry, the unit tangent bundle of a Riemannian manifold (M, g), denoted by T1M, UT(M) or simply UTM, is the unit sphere bundle for the tangent bundle T(M). It is a fiber bundle over M whose fiber at each point is the unit sphere in the tangent bundle:

Thu 24th

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Unit tangent bundle Tangent bundle Osserman manifold Fiber bundle Geodesic Horocycle Unit sphere SL2(R) Stiefel manifold Line bundle
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