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arxiv: 1209.6202 · v1 · pith:4YK43J6Gnew · submitted 2012-09-27 · 🧮 math.DG

Conformal Geometric Inequalities on the Klein Bottle

classification 🧮 math.DG
keywords conformalinequalitiesbottlegeometrickleinblatterboundscandidates
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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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