Open AccessACCESSIBILITY OF PARTIALLY HYPERBOLIC ENDOMORPHISMS WITH 1D CENTER-BUNDLES
Author(s) -
Baolin He
Publication year - 2017
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2017022
Subject(s) - endomorphism , mathematics , center (category theory) , pure mathematics , residual , mathematical analysis , crystallography , chemistry , algorithm
We prove that partially hyperbolic endomorphisms with one dimensional center-bundles and non-trivial unstable bundles are stably accessible. And there is residual subset R of partially hyperbolic volume preserving endomorphisms with one dimensional center-bundles such that every f ∈ R is stably accessible. In the end, we prove the accessibility of Gan’s example.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom