Almost maximal volume entropy
Differential Geometry
2017-03-01 v1
Abstract
We prove the existence of manifolds with almost maximal volume entropy which are not hyperbolic.
Cite
@article{arxiv.1702.08859,
title = {Almost maximal volume entropy},
author = {Viktor Schroeder and Hemangi Shah},
journal= {arXiv preprint arXiv:1702.08859},
year = {2017}
}
Related papers
View all related →
Complex Variables · Mathematics
Hyperbolic manifolds whose envelopes of holomorphy are not hyperbolic
Laura Geatti, Andrea Iannuzzi, Jean-Jacques Loeb
2007-05-23
Differential Geometry · Mathematics
Minimal surfaces in finite volume non compact hyperbolic $3$-manifolds
Pascal Collin, Laurent Hauswirth, Laurent Mazet, Harold Rosenberg
2014-06-26
Geometric Topology · Mathematics
Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces
Mark D. Baker, Daryl Cooper
2015-05-27
Differential Geometry · Mathematics
Minimal Surfaces in Hyperbolic 3-manifolds
Baris Coskunuzer
2021-05-12
Group Theory · Mathematics
Rigidity of Almost-Isometric Universal Covers
Aditi Kar, Jean-Francois Lafont, Benjamin Schmidt
2016-07-19
Differential Geometry · Mathematics
Rigidity of Asymptotically Hyperboblic Manifolds
Yuguang Shi, Gang Tian
2009-11-10
Dynamical Systems · Mathematics
New examples of stably ergodic diffeomorphisms in dimension 3
Gabriel Nuñez, Davi Obata, Jana Rodriguez Hertz
2020-06-02
Geometric Topology · Mathematics
Counting commensurability classes of hyperbolic manifolds
Tsachik Gelander, Arie Levit
2014-05-21
Geometric Topology · Mathematics
Hyperbolic four-manifolds
Bruno Martelli
2015-12-31
Group Theory · Mathematics
Aspherical manifolds with relatively hyperbolic fundamental groups
Igor Belegradek
2007-09-24
Differential Geometry · Mathematics
Systolic volume and minimal entropy of aspherical manifolds
Stephane Sabourau
2007-05-23
Dynamical Systems · Mathematics
Properties of compact center-stable submanifolds
Andy Hammerlindl
2016-12-13
Dynamical Systems · Mathematics
Large normally hyperbolic cylinders in a priori stable Hamiltonian systems
Patrick Bernard
2015-05-14
Differential Geometry · Mathematics
Almost maximal volume entropy rigidity for integral Ricci curvature in the non-collapsing case
Lina Chen
2022-01-21
Geometric Topology · Mathematics
Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds
Laurel Heck, Benjamin Linowitz
2022-04-14
Metric Geometry · Mathematics
Hyperbolic manifolds of small volume
Mikhail Belolipetsky, Vincent Emery
2015-04-09
Dynamical Systems · Mathematics
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds
Uri Bader, David Fisher, Nicholas Miller, Matthew Stover
2023-02-23
Geometric Topology · Mathematics
Finiteness of Maximal Geodesic Submanifolds in Hyperbolic Hybrids
David Fisher, Jean-François Lafont, Nicholas Miller, Matthew Stover
2024-12-02
Differential Geometry · Mathematics
A volume comparison theorem for asymptotically hyperbolic manifolds
S. Brendle, O. Chodosh
2015-06-16
Dynamical Systems · Mathematics
Existence and Finiteness of equilibrium states for some Partially hyperbolic endomorphisms
Alexander Arbieto, Eric Cabezas
2025-07-02
Dynamical Systems · Mathematics
Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms
Juan Carlos Mongez, Maria Jose Pacifico
2024-05-09
Dynamical Systems · Mathematics
Maximal Entropy Measures for Non-Accessible Topological Skew Products
Ali Tahzibi, Richard Cubas
2024-04-05
Geometric Topology · Mathematics
Hyperbolic 3-manifolds of low cusp volume
David Gabai, Robert Haraway, Robert Meyerhoff, Nathaniel Thurston +1
2021-09-30
Dynamical Systems · Mathematics
Volume entropy of hyperbolic buildings
Francois Ledrappier, Seonhee Lim
2012-12-14
Geometric Topology · Mathematics
Hyperbolic three manifolds of bounded volume and trace field degree II
BoGwang Jeon
2014-09-09