scholarly journals Distinct distances on hyperbolic surfaces

2021 ◽  
Author(s):  
Xianchang Meng
Keyword(s):  
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

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

scholarly journals On the minimal diameter of closed hyperbolic surfaces

2020 ◽  
Author(s):  
Thomas Budzinski ◽  
Nicolas Curien ◽  
Bram Petri
Keyword(s):  
Hyperbolic Surfaces ◽  
Minimal Diameter

scholarly journals Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces

2011 ◽  
Vol 77 (3-4) ◽  
pp. 669-679
Author(s):  
Christophe Bavard ◽  
Károly J. Böröczky ◽  
Borbála Farkas ◽  
István Prok ◽  
Lluis Vena ◽  
...  
Keyword(s):  
Hyperbolic Surfaces
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