Add to ORKGThis thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Shalen, Meyerhoff, and others to obtain various estimates and inequalities involving geometric data of hyperbolic 3-manifolds. These give numerical relationships between quantities like volume, length of geodesics, area of embedded surfaces, isoperimetric constants, eigenvalues of the Laplacian, and Margulis numbers for hyperbolic 3-manifolds.Ope
Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a h...
This thesis is a study on the volumes of cusped hyperbolic 3-manifolds with a compact totally geodes...
Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is kno...
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Sh...
Yiu, Fa Wai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical referen...
This paper introduces a rigorous computer-assisted procedure for analyz-ing hyperbolic 3-manifolds. ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
Thurston's hyperbolization theorem for Haken manifolds and normal surface theory yield an algorithm ...
By virtue of recent work of Perelman on the geometrisation conjec-ture for 3-manifolds, it has turne...
Abstract. Let Mn(K) be the hyperbolic 3-manifold obtained by n-cyclic covering of S3 branched over a...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental ...
Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensur...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a h...
This thesis is a study on the volumes of cusped hyperbolic 3-manifolds with a compact totally geodes...
Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is kno...
This thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Sh...
Yiu, Fa Wai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical referen...
This paper introduces a rigorous computer-assisted procedure for analyz-ing hyperbolic 3-manifolds. ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
Thurston's hyperbolization theorem for Haken manifolds and normal surface theory yield an algorithm ...
By virtue of recent work of Perelman on the geometrisation conjec-ture for 3-manifolds, it has turne...
Abstract. Let Mn(K) be the hyperbolic 3-manifold obtained by n-cyclic covering of S3 branched over a...
We apply topological methods to study eigenvalues of the Laplacian on closed hyperbolic surfaces. Fo...
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental ...
Reid has asked whether hyperbolic manifolds with the same geodesic length spectrum must be commensur...
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-...
Let $M_n(K)$ be the hyperbolic 3-manifold obtained by $n$-cyclic covering of $S^3$ branched over a h...
This thesis is a study on the volumes of cusped hyperbolic 3-manifolds with a compact totally geodes...
Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is kno...