Generalized degree and optimal Loewner-type inequalities

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dc.creatorIvanov, Sergei V.
dc.creatorKatz, Mikhail G.
dc.date2004-05-02
dc.date.accessioned2026-07-07T05:07:52Z
dc.date.available2026-07-07T05:07:52Z
dc.descriptionWe generalize optimal inequalities of C. Loewner and M. Gromov, by proving lower bounds for the total volume in terms of the homotopy systole and the stable systole. Our main tool is the construction of an area-decreasing map to the Jacobi torus, streamlining and generalizing the construction of the first author in collaboration with D. Burago. It turns out that one can successfully combine this construction with the coarea formula, to yield new optimal inequalities.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0405019
dc.identifierhttp://arxiv.org/abs/math/0405019
dc.identifierPublished in Israel J. Math. 141 (2004), 221-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71036
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject53C23; 57N65;52C07
dc.titleGeneralized degree and optimal Loewner-type inequalities
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