Maximal cusps, collars, and systoles in hyperbolic surfaces (original) (raw)

Cusp size bounds from singular surfaces in hyperbolic 3-manifolds

Colin Adams

Transactions of the American Mathematical Society, 2005

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Isometric cusps in hyperbolic 3-manifolds

Colin Adams

Michigan Mathematical Journal, 1999

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A brute force computer aided proof of an existence result about extremal hyperbolic surfaces

Cristian Reyes

Geometry at the Frontier, 2021

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Waist size for cusps in hyperbolic 3-manifolds II

Colin Adams

Geometriae Dedicata, 2019

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Waist size for cusps in hyperbolic 3-manifolds

Colin Adams

Topology, 2002

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Isoperimetric curves on hyperbolic surfaces

Colin Adams

Proceedings of the American Mathematical Society, 1999

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The Isoperimetric Problem on Euclidean, Spherical, and Hyperbolic Surfaces

Matthew Simonson

Journal of the Korean Mathematical Society, 2011

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Densities of Hyperbolic Cusp Invariants

Brandon Shapiro

arXiv: Geometric Topology, 2017

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Hyperbolic 3-manifolds of low cusp volume

Nathaniel Thurston

2021

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Cusps and the family hyperbolic metric

Scott Wolpert

Duke Mathematical Journal, 2007

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Generalizing the hyperbolic collar lemma

Ara Basmajian

Bulletin of The American Mathematical Society, 1992

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On largeness and multiplicity of the first eigenvalue of finite area hyperbolic surfaces

Sugata Mondal

Mathematische Zeitschrift, 2015

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Properly embedded, area-minimizing surfaces in hyperbolic 3-space

Brian White

Journal of Differential Geometry

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Graphs of systoles on hyperbolic surfaces

bidyut sanki

Journal of Topology and Analysis

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Some Models of the Finite Hyperbolic Geometry and the Finite Hyperbolic Plane

jinan Fadhil

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On Topological Upper-Bounds on the Number of Small Cuspidal Eigenvalues of Hyperbolic Surfaces of Finite Area

Sugata Mondal

International Mathematics Research Notices, 2015

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Cusp Densities of Hyperbolic 3-MANIFOLDS

Colin Adams

Proceedings of the Edinburgh Mathematical Society, 2002

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Riemann Surfaces Obtained from Hyperbolic Tessellations {10λ, 2λ}

Reginaldo Palazzo

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Systole and λ2g−2 of a Hyperbolic Surface

Sugata Mondal

2013

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Some hyperbolic three-manifolds that bound geometrically

Steven Tschantz

Proceedings of the American Mathematical Society, 2015

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Hyperbolic Carathéodory conjecture

Valentin Ovsienko

Proceedings of the Steklov Institute of Mathematics, 2007

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Noncompact Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3–manifolds

Colin Adams

Algebraic & Geometric Topology, 2007

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Systoles of hyperbolic manifolds

Scott Thomson

Arxiv preprint arXiv:1008.2646, 2010

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Medial surfaces of hyperbolic structures

Andrew G Christy

The European Physical Journal B - Condensed Matter, 2003

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Fuchsian and quasi-Fuchsian surfaces in hyperbolic 3 – manifolds

Colin Adams

2008

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On hyperbolic analogues of some classical theorems in spherical geometry

Athanase Papadopoulos

Hyperbolic Geometry and Geometric Group Theory

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The Poincaré metric and isoperimetric inequalities for hyperbolic polygons

Roger Barnard

2005

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Hyperbolic structures on surfaces

Steven Bleiler

Cambridge University Press eBooks, 1988

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A finiteness theorem for cusps

Dennis Sullivan

Acta Mathematica, 1981

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An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type

Sugata Mondal

Geometriae Dedicata, 2017

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Hyperbolic Ovals in Finite Planes

Gábor Korchmáros

Designs, Codes and Cryptography, 2004

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A real variable characterization of Gromov hyperbolicity of flute surfaces

José M. Rodríguez M.

arXiv: Complex Variables, 2008

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