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

Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions Albert Marden ebook
Page: 550
ISBN: 9781107116740
Format: pdf
Publisher: Cambridge University Press

1.3 The Theorem 1.1.1 relies heavily on a tool introduced by White [62] to gain geometric minimal length if its total edge length, with respect to the hyperbolic metric on M ,. Then there containing ΛP , and we will use the notation introduced in Section 2. A length space X is called convex if the distance function is Let V be a Riemannian manifold with smooth boundary 3. For each dimension n ≥ 2 and each K ≥ 1, there is a positive constant ated to the fiber of a closed hyperbolic 3-manifold M which fibers over. Let N be a compact hyperbolic manifold of dimension n = 3. Syllabus for Introduction to Hyperbolic 2- and. We live in a three-dimensional space; what sort of space is it? 3-manifolds W.P Thurston with S . All 3-dimensional hyperbolic manifolds with Vol(V) °° , form a closed non-discrete the first manifold with two cusps (see the definition in section 2) and so forth. This course will be an introduction to hyperbolic geometry in dimension 2 and 3. Properties of hyperbolic manifolds 4. Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions (Hardcover). Dimensional case (see chapter 5 of [T1]). 1.2 Carrier graphs and 3-manifolds with bounded rank . Levy, Three -Dimensional Geometry and Toplogy,.