On skew loops, skew branes and quadratic hypersurfaces

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dc.creatorTabachnikov, Serge
dc.date2003-02-21
dc.date.accessioned2026-07-07T04:55:28Z
dc.date.available2026-07-07T04:55:28Z
dc.descriptionA skew brane is an immersed codimension 2 submanifold in affine space, free from pairs of parallel tangent spaces. Using Morse theory, we prove that a skew brane cannot lie on a quadratic hypersurface. We also prove that there are no skew loops on embedded ruled developable discs in 3-space. The paper extends recent work by M. Ghomi and B. Solomon.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0302263
dc.identifierhttp://arxiv.org/abs/math/0302263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66592
dc.subjectDifferential Geometry
dc.subject53A05, 53C50, 58E05
dc.titleOn skew loops, skew branes and quadratic hypersurfaces
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