The space of Anosov diffeomorphisms

被引：4

作者：

Farrell, F. Thomas ^{[1
]}

Gogolev, Andrey ^{[1
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2014年 / 89卷

关键词：

D O I：

10.1112/jlms/jdt073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the space X-L of Anosov diffeomorphisms homotopic to a fixed automorphism L of an infranilmanifold M. We show that if M is the 2-torus T-2 then X-L is homotopy equivalent to T-2. In contrast, if the dimension of M is large enough, then we show that X-L is rich in homotopy and has infinitely many connected components.

引用

页码：383 / 396

页数：14

共 50 条

[1] Loop space and codimension one Anosov diffeomorphisms
Paternain, Miguel
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2015, 46 (03): : 391 - 405
[2] Loop space and codimension one Anosov diffeomorphisms
Paternain M.
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2015, 46 (3) : 391 - 405
[3] Diffeomorphisms Holder conjugate to Anosov diffeomorphisms
Gogolev, Andrey
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2010, 30 : 441 - 456
[4] ANOSOV DIFFEOMORPHISMS ON TORI
FRANKS, J
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 145 : 117 - &
[5] Examples of Anosov diffeomorphisms
Lauret, J
[J]. JOURNAL OF ALGEBRA, 2003, 262 (01) : 201 - 209
[6] Diffeomorphisms holomorphic Anosov
Cantat, S
[J]. COMMENTARII MATHEMATICI HELVETICI, 2004, 79 (04) : 779 - 797
[7] Anosov and Circle Diffeomorphisms
Almeida, Joao P.
Fisher, Albert M.
Pinto, Alberto A.
Rand, David A.
[J]. DYNAMICS, GAMES AND SCIENCE I, 2011, 1 : 11 - 23
[8] ANOSOV DIFFEOMORPHISMS ON PLANE
MENDES, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 63 (02) : 231 - 235
[9] CHARACTERIZATION OF ANOSOV DIFFEOMORPHISMS
MATHER, JN
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1968, 71 (05): : 479 - &
[10] Anosov Diffeomorphisms and -Tilings
Almeida, Joao P.
Pinto, Alberto A.
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 345 (02) : 435 - 456

← 1 2 3 4 5 →