Conformal Geometric Inequalities on the Klein Bottle

2012/09/27 by Chady El Mir, Mir, Chady El, Zeina Yassine +1
Mathematics · #53C20-53C22-53C23 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C20-53C22-53C23

paper · pdf · doi:10.48550/arxiv.1209.6202

12 pages

arxiv created 2012/09/27 · arxiv updated 2012/09/28

Abstract

We prove three optimal conformal geometric inequalities of Blatter type on the Klein bottle. These inequalities provide conformal lower bounds of the volume and involve lengths of homotopy classes of curves that are candidates to realize the systole.

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