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2008-05-18T20:12:32Z

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Vipul: New page: ==Definition== Suppose $M$ is a differential manifold and $N, P$ are submanifolds. Then, we say that $N$ and $P$ ''intersect transversa...

2008-01-30T18:13:22Z

New page: ==Definition== Suppose <math>M</math> is a differential manifold and <math>N, P</math> are submanifolds. Then, we say that <math>N</math> and <math>P</math> ''intersect transversa...

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==Definition==

Suppose <math>M</math> is a [[differential manifold]] and <math>N, P</math> are [[submanifold]]s. Then, we say that <math>N</math> and <math>P</math> ''intersect transversally'' if we have the following:

* The inclusion map from <math>P</math> to <math>M</math> is a [[tranversal map]] to <math>N</math>
* The inclusion map from <math>N</math> to <math>M</math> is a [[transversal map]] to <math>P</math>
* At any point <math>x</math> of <math>P \cap N</math>, we have:

<math>T_xM = T_xN + T_xP</math>

Transversally intersecting submanifolds - Revision history

Vipul: 1 revision

Vipul: New page: ==Definition== Suppose M is a differential manifold and N, P are submanifolds. Then, we say that N and P ''intersect transversa...

Vipul: New page: ==Definition== Suppose $M$ is a differential manifold and $N, P$ are submanifolds. Then, we say that $N$ and $P$ ''intersect transversa...