Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above

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dc.creatorAlexander, Stephanie B.
dc.creatorBishop, Richard L.
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:51:37Z
dc.date.available2026-07-07T06:51:37Z
dc.descriptionA Gauss equation is proved for subspaces of Alexandrov spaces of curvature bounded above by K. That is, a subspace of extrinsic curvature less than or equal to A, defined by a cubic inequality on the difference of arc and chord, has intrinsic curvature less than or equal to K+A^2. Sharp bounds on injectivity radii of subspaces, new even in the Riemannian case, are derived.
dc.description17 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0511570
dc.identifierhttp://arxiv.org/abs/math/0511570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105048
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C70,53C20,53B25
dc.titleGauss equation and injectivity radii for subspaces in spaces of curvature bounded above
dc.typetext

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