Framed submanifold: Difference between revisions
(New page: ==Definition== A '''framed submanifold''' of a differential manifold is a submanifold along with a ''framing'' of its normal bundle, i.e. a global choice of trivialization for the...) |
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Revision as of 14:54, 28 February 2008
Definition
A framed submanifold of a differential manifold is a submanifold along with a framing of its normal bundle, i.e. a global choice of trivialization for the normal bundle.
Not every submanifold of a differential manifold can be framed. In fact, a submanifold can be framed iff it has trivial normal bundle. Such submanifolds are termed framable submanifolds.