Partially Hyperbolic Dynamical Systems

  title={Partially Hyperbolic Dynamical Systems},
  author={Boris Hasselblatt},
15 3. Stable and unstable filtrations 17 3.1. Existence and subfoliation 17 3.2. Absolute continuity 19 4. Central Foliations 21 4.1. Normal hyperbolicity 21 4.2. Integrability of the central foliation and dynamical coherence 23 4.3. Smoothness of central leaves via normal hyperbolicity 25 4.4. Robustness of the central foliation 26 5. Intermediate Foliations 27 5.1. Nonintegrability of intermediate distributions 27 5.2. Invariant families of local manifolds 29 5.3. Lack of smoothness of the… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS


Publications referenced by this paper.
Showing 1-10 of 52 references

ergodicity of the time-one map of a geodesic flow

A. Wilkinson, Stable
Ergodic Theory Dynam. Systems • 1998
View 20 Excerpts
Highly Influenced

Partial Hyperbolicity and Stable Ergodicity

Y. Pesin, Lectures
Zürich Lectures in Advanced Mathematics, EMS, • 2004
View 4 Excerpts
Highly Influenced


M. Brin
Karcher,Frame flows on manifolds of negative curvature , Compos. Math., 52 • 1984
View 3 Excerpts
Highly Influenced

Pesin, Non-absolutely continuous invariant foliations

M. Hirayama, Ya


M. Brin, D. Burago
Ivanov,On partially hyperbolic diffeomorphisms of 3manifolds with commutative fundamental group . In Modern Dynamical Systems and Applications, B. Hasselblatt, M. Brin, Y. Pesin, eds., Cambridge Univers ity Press, New York • 2004
View 2 Excerpts

Stable ergodicity

C. Pugh, M. Shub
Bull. Amer. Math. Soc. (N.S.) 41 • 2004

Stable ergodicity and julienne quasi-conformality

C. Pugh, M. Shub
J. Eur. Math. Soc. (JEMS)2 (2000), no. 1, 1–52; 6 • 2004

Tahzibi,Partial hyperbolicity for symplectic diffeomorphisms

A. V. Horita

ergodicity of suspension flows

A. Talitskaya, Stable


C. Bonatti
J. Dı́az and E. R. Pujals, A C1-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks or sourc es, Ann. of Math. (2) 158 • 2003

Similar Papers

Loading similar papers…