Higher Schl{ä}fli Formulas and Applications II. Vector-valued differential relations

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dc.creatorSchlenker, Jean-Marc
dc.creatorSouam, Rabah
dc.date2006-11-16
dc.date2008-02-06
dc.date.accessioned2026-07-07T12:31:42Z
dc.date.available2026-07-07T12:31:42Z
dc.descriptionThe classical Schläfli formula, and its ``higher'' analogs given in [SS03], are relations between the variations of the volumes and ``curvatures'' of faces of different dimensions of a polyhedra (which can be Euclidean, spherical or hyperbolic) under a first-order deformation. We describe here analogs of those formulas which are vector-valued rather than scalar. Some consequences follow, for instance constraints on where cone singularities can appear when a constant curvature manifold is deformed among cone-manifolds.
dc.description26 pages, no figure. v2: added 2 refs, improved intro. v3: added section on low dim examples
dc.identifierhttps://arxiv.org/abs/math/0611499
dc.identifierhttp://arxiv.org/abs/math/0611499
dc.identifierInt. Math. Res. Not. IMRN 2008, Art. ID rnn 068, 44 pp.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216537
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleHigher Schl{ä}fli Formulas and Applications II. Vector-valued differential relations
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