Isometry-invariant geodesics and nonpositive derivations of the cohomology

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dc.creatorPapadima, Stefan
dc.creatorPaunescu, Laurentiu
dc.date2003-11-20
dc.date.accessioned2026-07-07T08:48:24Z
dc.date.available2026-07-07T08:48:24Z
dc.descriptionWe introduce a new class of zero-dimensional weighted complete intersections, by abstracting the essential features of rational cohomology algebras of equal rank homogeneous spaces of compact connected Lie groups. We prove that, on a 1-connected closed manifold M whose rational cohomology algebra belongs to this class, every isometry has a non-trivial invariant geodesic, for any metric on M. We use rational surgery to construct large classes of new examples for which the above result may be applied.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0311340
dc.identifierhttp://arxiv.org/abs/math/0311340
dc.identifierJ. Differential Geometry 71 (2005), 159-176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143934
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C22, 13C40 (primary); 57T15, 55P62, 57R65 (secondary)
dc.titleIsometry-invariant geodesics and nonpositive derivations of the cohomology
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