2 papers
math.DG2015
Optimal systolic inequalities on Finsler Mobius bands
Stéphane Sabourau, Zeina Yassine
We prove optimal systolic inequalities on Finsler Mobius bands relating the systole and the height of the Mobius band to its Holmes-Thompson volume. We also establish an optimal sy…
math.DG2012
Conformal Geometric Inequalities on the Klein Bottle
Chady El Mir, Zeina Yassine
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…