Tight immersions and local differential geometry

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dc.creatorNiebergall, Ross
dc.creatorThorbergsson, Gudlaugur
dc.date1997-02-07
dc.date.accessioned2026-07-07T09:12:58Z
dc.date.available2026-07-07T09:12:58Z
dc.descriptionAn immersion of a compact manifold is tight if it admits the minimal total absolute curvature over all immersions of the manifold. A prominent result in the study of minimal total absolute curvature immersions is the theorem of Chern and Lashof, which characterizes minimal total absolute curvature immersions, and tight immersions, of spheres into a Euclidean space. In this paper we examine tight immersions of highly connected manifolds; i.e., 2k-dimensional manifolds that are (k-1)-connected by not k-connected, and characterize the immersions of highest codimension.
dc.descriptionPlain TeX, 24 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9702007
dc.identifierhttp://arxiv.org/abs/dg-ga/9702007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152205
dc.subjectDifferential Geometry
dc.titleTight immersions and local differential geometry
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