Topological geodesics and virtual rigidity

Louis Funar, Siddhartha Gadgil

Type: Article

Publication Date: 2001-06-03

Citations: 4

DOI: https://doi.org/10.2140/agt.2001.1.369

Abstract

We introduce the notion of a topological geodesic in a 3-manifold.Under suitable hypotheses on the fundamental group, for instance word-hyperbolicity, topological geodesics are shown to have the useful properties of, and play the same role in several applications as, geodesics in negatively curved spaces.This permits us to obtain virtual rigidity results for 3-manifolds.

Locations

Algebraic & Geometric Topology - View - PDF
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View

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+	Geodesic knots in hyperbolic 3 manifolds	2005	Sally Malinda Kuhlmann
+	A Novel Approach to Loxodrome (Rhumb Line), Orthodrome (Great Circle) and Geodesic Line in ECDIS and Navigation in General	2011	Adam Weintrit Piotr Kopacz
+ PDF Chat	Drilling short geodesics in hyperbolic 3-manifolds	2006	Kenneth Bromberg
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+	Introduction to Compact Transformation Groups	1972	Glen E. Bredon
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+	SOME EXAMPLES OF EXOTIC NON-COMPACT 3-MANIFOLDS	1989	Peter Scott Thomas W. Tucker
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+	Transformations of Finite Period. II	1939	P. A. Smith