On a geometric black hole of a compact manifold

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dc.creatorErmolitski, Alexander
dc.date2009-01-05
dc.date.accessioned2026-07-07T12:24:37Z
dc.date.available2026-07-07T12:24:37Z
dc.descriptionUsing a smooth triangulation and a Riemannian metric on a compact, connected, closed manifold M of dimension n we have got that every such M can be represented as a union of a n-dimensional cell and a connected union K of some subsimplexes of the triangulation. A sufficiently small closed neighborhood of K is called a geometric black hole. Any smooth tensor field T (or other structure) can be deformed into a continuous and sectionally smooth tensor field T1 where T1 has a very simple construction out of the black hole.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0901.0528
dc.identifierhttp://arxiv.org/abs/0901.0528
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214382
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53C21, 57M20
dc.titleOn a geometric black hole of a compact manifold
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