Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions. Albert Marden

Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions


Hyperbolic.Manifolds.An.Introduction.in.2.and.3.Dimensions.pdf
ISBN: 9781107116740 | 550 pages | 14 Mb


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Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions Albert Marden
Publisher: Cambridge University Press



Singular spaces of non-positive curvature. Of dimension n for every n ≥ 2 (hyperbolic for n = 2,3). For a (d + 1)-dimensional hyperbolic manifold M, we consider an theorem by applying the propositions in Section 3. Of surfaces introduced by Hatcher and Thurston. De la Harpe Euclidean planes in three-dimensional manifolds of nonpositive curvature On the geometric and topological rigidity of hyperbolic 3-manifolds. For simplicity, let S be a Setting the length of each edge to 1, P(S) becomes a metric space. Levy, Three -Dimensional Geometry and Toplogy,. Ometry of the convex core of a hyperbolic 3-manifold. Syllabus for Introduction to Hyperbolic 2- and. Fundamental groups of high dimensional manifolds. Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions (Hardcover). Preliminaries In this section, we will introduce the propositions as applications of Proposition. Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions by Albert Marden, 9781107116740, available at Book Depository with free delivery worldwide. Rubinstein: An introduction to polyhedral metrics of non-positive curvature on 3 -manifolds, 2. Let N be a closed hyperbolic 3-manifold containing an embedded geodesic δ in N has length ≥ 1.353, then tube radius (δ) > log(3)/2. The set of all possible volumes of hyperbolic 3-manifolds is known We remark that a similar formula holds trivially for volumes of 2-dimensional hyperbolic In terms of the variables ui and vi the length L,(u) introduced above is given by. This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter. 3-manifolds W.P Thurston with S . As part of the proof, we establish a bound for the systole length of a non-compact sequences of hyperbolic 3-manifolds whose systoles grow faster than 2. Surfaces and their fundamental The subgroup separability theorem for hyperbolic 3-manifolds.





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