scholarly journals Isometry groups of infinite-genus hyperbolic surfaces

Author(s):  
Tarik Aougab ◽  
Priyam Patel ◽  
Nicholas G. Vlamis
2003 ◽  
Vol 3 (2) ◽  
Author(s):  
Bruno Colbois ◽  
Ana-Maria Matei

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


2009 ◽  
Vol 2 (4) ◽  
pp. 661-700 ◽  
Author(s):  
Pierre-Emmanuel Caprace ◽  
Nicolas Monod

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