scholarly journals Spectrum of the Lichnerowicz Laplacian on Asymptotically Hyperbolic Surfaces

2008 ◽  
Vol 11 (3-4) ◽  
pp. 365-379 ◽  
Author(s):  
Erwann Delay
Keyword(s):  
Hyperbolic Surfaces ◽  
Asymptotically Hyperbolic

scholarly journals Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces

2017 ◽  
Vol 2017 (724) ◽  
Author(s):  
Hiroshi Isozaki ◽  
Yaroslav Kurylev ◽  
Matti Lassas
Keyword(s):  
Inverse Problem ◽  
Riemann Surface ◽  
Inverse Scattering ◽  
Scattering Matrix ◽  
Hyperbolic Surfaces ◽  
Conical Singularities ◽  
Compact Surfaces ◽  
Asymptotically Hyperbolic ◽  
Generalized Scattering Matrix

AbstractWe consider an inverse problem associated with some 2-dimensional non-compact surfaces with conical singularities, cusps and regular ends. Our motivating example is a Riemann surface

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 The Jang Equation and the Positive Mass Theorem in the Asymptotically Hyperbolic Setting

2021 ◽  
Author(s):  
Anna Sakovich
Keyword(s):  
Initial Data ◽  
Spatial Dimension ◽  
Positive Mass Theorem ◽  
Positive Mass ◽  
Asymptotically Hyperbolic ◽  
Jang Equation

AbstractWe solve the Jang equation with respect to asymptotically hyperbolic “hyperboloidal” initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.

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