Skew loops in flat tori

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dc.creatorSolomon, Bruce
dc.date2007-01-31
dc.date2007-07-01
dc.date.accessioned2026-07-07T08:13:00Z
dc.date.available2026-07-07T08:13:00Z
dc.descriptionWe produce skew loops -- loops having no pair of parallel tangent lines -- homotopic to any loop in a flat torus or other quotient of R^n. The interesting case here is n=3. More subtly for any n, we characterize the homotopy classes that will contain a skew loop having a specified loop in the unit sphere as tangent indicatrix.
dc.identifierhttps://arxiv.org/abs/math/0701913
dc.identifierhttp://arxiv.org/abs/math/0701913
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132654
dc.subjectDifferential Geometry
dc.subject53A04
dc.titleSkew loops in flat tori
dc.typetext

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