Length product of homologically independent loops for tori
نویسندگان
چکیده
منابع مشابه
Skew Loops in Flat Tori
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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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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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2016
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525316500175