No skew branes on non-degenerate hyperquadrics

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dc.creatorSha, Ji-Ping
dc.creatorSolomon, Bruce
dc.date2004-12-09
dc.date.accessioned2026-07-07T05:15:10Z
dc.date.available2026-07-07T05:15:10Z
dc.descriptionWe show that non-degenerate hyperquadrics in R^{n+2} admit no skew branes. Stated more traditionally, a compact codimension-one immersed submanifold of a non-degenerate hyperquadric of euclidean space must have parallel tangent spaces at two distinct points. Similar results have been proven by others, but (except for ellipsoids in R^3) always under C^2 smoothness and genericity assumptions. We use neither assumption here.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0412197
dc.identifierhttp://arxiv.org/abs/math/0412197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73543
dc.subjectDifferential Geometry
dc.subject53C40, 57R42
dc.titleNo skew branes on non-degenerate hyperquadrics
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