TY - JOUR
T1 - Structure of accessibility classes
AU - Hertz, Jana Rodriguez
AU - VASQUEZ EHRENFELD, CARLOS
N1 - Publisher Copyright:
© 2020 American Institute of Mathematical Sciences. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/8
Y1 - 2020/8
N2 - In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed C1-manifolds.
AB - In this work we deal with dynamically coherent partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are topologically immersed manifolds. If, furthermore, the diffeomorphism satisfies certain bunching condition, then the accessibility classes are immersed C1-manifolds.
KW - Accesibility
KW - Partially hyperbolic diffeomorphisms
KW - Stable ergodicity
UR - http://www.scopus.com/inward/record.url?scp=85086015625&partnerID=8YFLogxK
U2 - 10.3934/dcds.2020196
DO - 10.3934/dcds.2020196
M3 - Article
AN - SCOPUS:85086015625
VL - 40
SP - 4653
EP - 4664
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
SN - 1078-0947
IS - 8
ER -