https://diffgeom.subwiki.org/w/index.php?action=history&feed=atom&title=Sphere_bundleSphere bundle - Revision history2026-07-09T06:05:30ZRevision history for this page on the wikiMediaWiki 1.41.2https://diffgeom.subwiki.org/w/index.php?title=Sphere_bundle&diff=1934&oldid=prevVipul: New page: ==Definition== ===Loose bundle=== The '''sphere bundle''' of a Riemannian manifold is defined as a (fiber) subbundle of the tangent bundle to the manifold, such that the fiber ov...2008-05-22T12:35:35Z<p>New page: ==Definition== ===Loose bundle=== The '''sphere bundle''' of a <a href="/wiki/Riemannian_manifold" title="Riemannian manifold">Riemannian manifold</a> is defined as a (fiber) subbundle of the <a href="/wiki/Tangent_bundle" title="Tangent bundle">tangent bundle</a> to the manifold, such that the fiber ov...</p>
<p><b>New page</b></p><div>==Definition==<br />
<br />
===Loose bundle===<br />
<br />
The '''sphere bundle''' of a [[Riemannian manifold]] is defined as a (fiber) subbundle of the [[tangent bundle]] to the manifold, such that the fiber over a point is the set of all tangent vectors of length 1, at that point.<br />
<br />
As a fiber bundle, the sphere bundle does not depend on the choice of Riemannian metric, and hence can be defined for any [[differential manifold]].</div>Vipul