TY - JOUR
T1 - Partially hyperbolic dynamics in dimension three
AU - Carrasco, Pablo D.
AU - Rodriguez-Hertz, Federico
AU - Rodriguez-Hertz, Jana
AU - Ures, Raúl
N1 - Publisher Copyright:
© Cambridge University Press, 2017.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - Partial hyperbolicity appeared in the 1960s as a natural generalization of hyperbolicity. In the last 20 years, there has been great activity in this area. Here we survey the state of the art in some related topics, focusing especially on partial hyperbolicity in dimension three. The reason for this is not only that it is the smallest dimension in which non-degenerate partial hyperbolicity can occur, but also that the topology of -manifolds influences the dynamics in revealing ways.
AB - Partial hyperbolicity appeared in the 1960s as a natural generalization of hyperbolicity. In the last 20 years, there has been great activity in this area. Here we survey the state of the art in some related topics, focusing especially on partial hyperbolicity in dimension three. The reason for this is not only that it is the smallest dimension in which non-degenerate partial hyperbolicity can occur, but also that the topology of -manifolds influences the dynamics in revealing ways.
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U2 - 10.1017/etds.2016.142
DO - 10.1017/etds.2016.142
M3 - Article
AN - SCOPUS:85019016395
SN - 0143-3857
VL - 38
SP - 2801
EP - 2837
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 8
ER -