Volume preserving embeddings of open subsets of $R^n$ into manifolds

Details Volume preserving embeddings of open subsets of $R^n$ into manifolds Volume preserving embeddings of open subsets of $R^n$ into manifolds

2001-12-23

arxiv.org/abs/math/0112260v1

Mathematics

Differential Geometry

6 pages

Scientific paper

We consider a connected smooth $n$-dimensional manifold $M$ endowed with a
volume form $\Omega$, and we show that an open subset $U$ of $R^n$ of Lebesgue
measure $\Vol (U)$ embeds into $M$ by a smooth volume preserving embedding
whenever the volume condition $\Vol (U) \le \Vol (M,\Omega)$ is met.

Affiliated with

Also associated with

No associations

Rating

Volume preserving embeddings of open subsets of $R^n$ into manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Volume preserving embeddings of open subsets of $R^n$ into manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Volume preserving embeddings of open subsets of $R^n$ into manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454807