scholarly journals The maximal injectivity radius of hyperbolic surfaces with geodesic boundary

2020 ◽  
Author(s):  
Jason DeBlois ◽  
Kim Romanelli
Keyword(s):  
Injectivity Radius ◽  
Hyperbolic Surfaces ◽  
Geodesic Boundary

Systoles of hyperbolic 3-manifolds

2000 ◽  
Vol 128 (1) ◽  
pp. 103-110 ◽  
Author(s):  
COLIN C. ADAMS ◽  
ALAN W. REID
Keyword(s):  
Finite Volume ◽  
Closed Geodesic ◽  
Injectivity Radius ◽  
Hyperbolic Surfaces

Let M be a complete hyperbolic n-manifold of finite volume. By a systole of M we mean a shortest closed geodesic in M. By the systole length of M we mean the length of a systole. We denote this by sl (M). In the case when M is closed, the systole length is simply twice the injectivity radius of M. In the presence of cusps, injectivity radius becomes arbitrarily small and it is for this reason we use the language of ‘systole length’.In the context of hyperbolic surfaces of finite volume, much work has been done on systoles; we refer the reader to [2, 10–12] for some results. In dimension 3, little seems known about systoles. The main result in this paper is the following (see below for definitions):

Geometric Schottky groups and non-compact hyperbolic surfaces with infinite genus

2021 ◽  
Vol 76 ◽  
pp. 101752
Author(s):  
John A. Arredondo ◽  
Camilo Ramírez Maluendas
Keyword(s):  
Schottky Groups ◽  
Hyperbolic Surfaces

Asymptotic Estimates of the First Eigenvalue of the p-Laplacian

2003 ◽  
Vol 3 (2) ◽  
Author(s):  
Bruno Colbois ◽  
Ana-Maria Matei
Keyword(s):  
Direct Application ◽  
Parameter Family ◽  
Precise Estimate ◽  
First Eigenvalue ◽  
Asymptotic Estimates ◽  
Hyperbolic Surfaces ◽  
The First Eigenvalue

AbstractWe consider a 1-parameter family of hyperbolic surfaces M(t) of genus ν which degenerate as t → 0 and we obtain a precise estimate of λAs a direct application, we obtain that the quotientTo prove our results we use in an essential way the geometry of hyperbolic surfaces which is very well known. We show that an eigenfunction for λ

Construction and smoothing of triangular Coons patches with geodesic boundary curves

2010 ◽  
Vol 27 (4) ◽  
pp. 301-312 ◽  
Author(s):  
R.T. Farouki ◽  
N. Szafran ◽  
L. Biard
Keyword(s):  
Geodesic Boundary ◽  
Boundary Curves

scholarly journals Isometry groups of infinite-genus hyperbolic surfaces

2021 ◽  
Author(s):  
Tarik Aougab ◽  
Priyam Patel ◽  
Nicholas G. Vlamis
Keyword(s):  
Hyperbolic Surfaces ◽  
Isometry Groups

A note on the injectivity radius of quasiconformal immersions

2016 ◽  
Vol 71 (1) ◽  
pp. 161-163 ◽  
Author(s):  
V A Zorich
Keyword(s):  
Injectivity Radius
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