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2002 Systoles of a family of triangle surfaces
Ursula Hamenstädt, Roman Koch
Experiment. Math. 11(2): 249-270 (2002).

Abstract

We determine the systoles for a family of closed hyperbolic triangle surfaces which admit a particularly simple combinatorial description. We show that, in this family, there are exactly four surfaces which are maximal, i.e., for which the length of the systole is a local maximum in Teichmüller space. One of these surfaces gives a new example of a maximal surface.

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Ursula Hamenstädt. Roman Koch. "Systoles of a family of triangle surfaces." Experiment. Math. 11 (2) 249 - 270, 2002.

Information

Published: 2002
First available in Project Euclid: 3 September 2003

zbMATH: 1116.53302
MathSciNet: MR1959267

Subjects:
Primary: 53C22

Keywords: classification of systoles , maximal surfaces , Triangle surfaces

Rights: Copyright © 2002 A K Peters, Ltd.

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Vol.11 • No. 2 • 2002
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