Volumes, middle-dimensional systoles, and Whitehead products

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dc.creatorBabenko, Ivan K.
dc.creatorKatz, Mikhail G.
dc.creatorSuciu, Alexander I.
dc.date1997-07-22
dc.date1998-07-06
dc.date.accessioned2026-07-07T09:02:53Z
dc.date.available2026-07-07T09:02:53Z
dc.descriptionLet X be a closed manifold of dimension 2m >= 6 with torsion-free middle-dimensional homology. We construct metrics on X of arbitrarily small volume, such that every middle-dimensional submanifold of less than unit volume necessarily bounds. Thus, Loewner's theorem has no higher-dimensional analogue.
dc.descriptionLaTeX2e, 11 pages. Revised version, to appear in Math. Research Letters
dc.identifierhttps://arxiv.org/abs/dg-ga/9707016
dc.identifierhttp://arxiv.org/abs/dg-ga/9707016
dc.identifierMathematical Research Letters 5 (1998), no. 4, 461-471
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148800
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C23 (Primary) 55Q15 (Secondary)
dc.titleVolumes, middle-dimensional systoles, and Whitehead products
dc.typetext

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