18 April | D. Kotschick | Introduction, basic definitions and examples |
25 April | L. Garcia | Stable and unstable foliations, openness/genericity
[AA] par 15 + Appendix 22 |
2 May | F. Semrau | Structural stability of:
overtwisted disks [HS] 16.3; Anosov systems [KH] 2.3, [AA] par 16 + Appendix 25, [S] |
9 May | A. Strzelczyk | Density of un-/stable manifolds
[P1] 1. |
23 May | T. Vogel | Anosov closing lemma; geodesic flows |
30 May | N. Pia | Anosov flows with invariant transverse foliations
[P1] 2.+3. |
6 June | M. Scandi | Anosov flows with invariant forms; closed orbits
[P1] 4. + [P2] |
27 June | F. Semrau | Anosov flows and the fundamental group
[PT] |
References:
[A] D. V. Anosov: Geodesic flows on closed Riemann manifolds
with negative curvature. Proceedings of the Steklov Institute of Mathematics,
No. 90 (1967). American Mathematical Society Translations, Providence,
R.I. 1969.
[AA] V. I. Arnold and A. Avez: Ergodic problems of classical
mechanics. W. A. Benjamin, Inc., New York-Amsterdam 1968.
[HS] M. W. Hirsch and S. Smale: Differential equations, dynamical
systems, and linear algebra. Academic Press 1974.
[K] M. Kanai: Differential-geometric studies on dynamics
of geodesic and frame flows. Japan J. Math. 19 (1993),
1--30.
[KH] A. Katok and B. Hasselblatt: Introduction to the modern
theory of dynamical systems. Encyclopedia of Mathematics and its Applications,
54. Cambridge University Press, Cambridge, 1995.
[P1] J. F. Plante: Anosov flows. American Journal of
Mathematics 94 (1972), 729--754.
[P2] J. F. Plante: Homology of closed orbits of Anosov flows.
Proceedings of the American Mathematical Society 37 (1973),
297--300.
[PT] J. F. Plante and W. P. Thurston: Anosov flows and the fundamental group. Topology 11 (1972), 147--150.
[S] S. Smale: Differentiable dynamical systems. Bulletin
of the American Mathematical Society 73 (1967), 747--817.