Volume of Riemannian manifolds, geometric inequalities, and homotopy theory

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dc.creatorKatz, Mikhail G.
dc.creatorSuciu, Alexander I.
dc.date1998-10-29
dc.date1998-11-19
dc.date.accessioned2026-07-07T05:26:39Z
dc.date.available2026-07-07T05:26:39Z
dc.descriptionWe outline the current state of knowledge regarding geometric inequalities of systolic type, and prove new results, including systolic freedom in dimension 4. Namely, every compact, orientable, smooth 4-manifold X admits metrics of arbitrarily small volume such that every orientable, immersed surface of smaller than unit area is necessarily null-homologous in X.
dc.description25 pages, LaTeX2e, 3 figures. To appear in the Rothenberg Festschrift, Contemporary Math
dc.identifierhttps://arxiv.org/abs/math/9810172
dc.identifierhttp://arxiv.org/abs/math/9810172
dc.identifierTel Aviv Topology Conference: Rothenberg Festschrift (1998), 113-136, Contemp. Math., vol. 231, Amer. Math. Soc., Providence, RI, 1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77626
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C23 (Primary); 55Q15 (Secondary)
dc.titleVolume of Riemannian manifolds, geometric inequalities, and homotopy theory
dc.typetext

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