BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES-Reference-Cited by-同舟云学术

BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES

Published:2012-09 Issue:03 Volume:04 Page:271-296
ISSN:1793-5253
Container-title:Journal of Topology and Analysis
language:en
Short-container-title:J. Topol. Anal.

Author:

BALACHEFF FLORENT¹,PARLIER HUGO²

Affiliation:

1. Laboratoire Paul Painlevé, Université Lille 1, Lille, France

2. Department of Mathematics, University of Fribourg, Fribourg, Switzerland

Abstract

The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of its geodesics of length bounded by [Formula: see text]. Other results include lower and upper bounds for Bers' constants for hyperelliptic surfaces and spheres with boundary geodesics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Geometry and Topology,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179352531250015X

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