Conformal geometric inequalities on the Klein bottle

El Mir, Chady; Yassine, Zeina

doi:10.1090/ecgd/283

Conformal geometric inequalities on the Klein bottle

Authors: Chady El Mir and Zeina Yassine
Journal: Conform. Geom. Dyn. 19 (2015), 240-257
MSC (2010): Primary 53C20, 53C22, 53C23
DOI: https://doi.org/10.1090/ecgd/283
Published electronically: October 28, 2015
MathSciNet review: 3416311
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Abstract: We prove three optimal conformal geometric inequalities of C. Blatter type on every Riemannian Klein bottle. These inequalities provide conformal lower bounds on the area and involve lengths of homotopy classes of curves that are natural candidates to realize the systole.

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