- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Lower bounds on volumes of hyperbolic Haken 3-manifolds
Abstract
In this paper, we find lower bounds for volumes of hyperbolic 3-manifolds with various topological conditions. Let V_3 = 1.01494 denote the volume of a regular ideal simplex in hyperbolic 3-space. As a special case of the main theorem, if a hyperbolic manifold M contains an acylindrical surface S, then Vol>= -2 V_3 chi. We also show that if beta_1>= 2, then Vol>= 4/5 V_3.Links
PhilArchive
External links
(no proxy)
Setup an account with your affiliations in order to access resources via your University's proxy server
Through your library
- Only published works are available at libraries.
My notes
Similar books and articles
Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary.P. Thurston William - unknown
Hyperbolic Structures on 3-manifolds, I: Deformation of acylindrical manifolds.P. Thurston William - unknown
On the differential form spectrum of hyperbolic manifolds.Gilles Carron & Emmanuel Pedon - 2004 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 3 (4):705-747.
Boundary slopes of immersed surfaces in 3-manifolds.Hass Joel, Rubinstein J. Hyam & Wang Shicheng - unknown
On volumes of arithmetic quotients SO.Mikhail Belolipetsky - 2004 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 3 (4):749-770.
Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle.P. Thurston William - unknown
The Simplest Axiom System for Hyperbolic Geometry Revisited, Again.Jesse Alama - 2014 - Studia Logica 102 (3):609-615.
The Bifurcation Approach to Hyperbolic Geometry.Abraham A. Ungar - 2000 - Foundations of Physics 30 (8):1257-1282.
About the optimality of oscillations in non-Lipschitz coefficients for strictly hyperbolic equations.Fumihiko Hirosawa & Michael Reissig - 2004 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 3 (3):589-608.
Rigidity at infinity for even-dimensional asymptotically complex hyperbolic spaces.Hassan Boualem & Marc Herzlich - 2002 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 1 (2):461-469.
The complexity of plane hyperbolic incidence geometry is∀∃∀∃.Victor Pambuccian - 2005 - Mathematical Logic Quarterly 51 (3):277-281.
From Pythagoras To Einstein: The Hyperbolic Pythagorean Theorem. [REVIEW]Abraham A. Ungar - 1998 - Foundations of Physics 28 (8):1283-1321.
Analytics
Added to PP
2017-06-17
Downloads
3 (#1,706,939)
6 months
2 (#1,187,206)
2017-06-17
Downloads
3 (#1,706,939)
6 months
2 (#1,187,206)
Historical graph of downloads
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-55b469568f-qf88s uwo