2 0 Ju n 20 07 . SKEW LOOPS IN FLAT TORI
نویسنده
چکیده
We produce skew loops—loops having no pair of parallel tangent lines—homotopic to any loop in a flat torus or other quotient of Rn . 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 τ ⊂ S as tangent indicatrix.
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Ja n 20 07 . SKEW LOOPS IN FLAT TORI
We produce skew loops—loops that lack any pair of parallel tangent lines—homotopic to any loop in a flat torus, or any other quotient of Rn by a discrete subgroup. The interesting case here is n = 3 . More subtly for any n , we then characterize the homotopy classes that will contain a skew loop having a specified loop τ ⊂ S as tangent indicatrix.
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We produce skew loops—loops having no pair of parallel tangent lines—homotopic to any loop in a flat torus or other quotient of Rn . 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 τ ⊂ S as tangent indicatrix.
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