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

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dc.creatorSchlenk, Felix
dc.date2001-12-23
dc.date.accessioned2026-07-07T04:45:28Z
dc.date.available2026-07-07T04:45:28Z
dc.descriptionWe consider a connected smooth $n$-dimensional manifold $M$ endowed with a volume form $Ω$, 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 $\Vol (U) \le \Vol (M,Ω)$ is met.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0112260
dc.identifierhttp://arxiv.org/abs/math/0112260
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62967
dc.subjectDifferential Geometry
dc.subject58D20
dc.titleVolume preserving embeddings of open subsets of $R^n$ into manifolds
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