Conformal geometric inequalities on the Klein bottle

El Mir, Chady; Yassine, Zeina

doi:10.1090/ecgd/283

Conformal geometric inequalities on the Klein bottle
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by Chady El Mir and Zeina Yassine

Conform. Geom. Dyn. 19 (2015), 240-257

DOI: https://doi.org/10.1090/ecgd/283

Published electronically: October 28, 2015

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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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