Hyperellipticity and Klein bottle companionship in systolic geometry

Details Hyperellipticity and Klein bottle companionship in systolic geometry Hyperellipticity and Klein bottle companionship in systolic geometry

2008-11-11

arxiv.org/abs/0811.1717v3

Mathematics

Differential Geometry

18 pages, 1 figure

Scientific paper

Given a hyperelliptic Klein surface, we construct companion Klein bottles.
Bavard's short loops on companion bottles are studied in relation to the
surface to improve an inequality of Gromov's in systolic geometry.

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