Periodic trajectories in 3-dimensional convex billiards

Manuscripta Mathematica

Volumn 108, Issue 4, 2002, Pages 431-437

  Farber, Michael ^a   Tabachnikov, Serge ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035982992     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290200273     Document Type: Article

References (9)

1. Babenko, I.: Periodic trajectories in three-dimensional Birkhoffbilliards, Math. USSR Sbornik, 71, 1-13 (1992)
2. Birkhoff, G.: Dynamical systems. Amer. Math. Soc. Coll. Publ., 9, 1927
3. Bott, R.: Lectures on Morse theory old and new, Bull. Amer. Math. Soc., 7, 331-358 (1982)
4. Brown, K.S.: Cohomology of groups, Springer, 1982
5. Farber, M., Tabachnikov, S.: Topology of cyclic configuration spaces and periodic trajectories of multidimensional billiards, Topology, 41, 553-589 (2002)
6. Farber, M.: Topology of billiard problems, I, Duke Math. J. (in print), available as ArXiv preprint math. DG/0006049
7. Farber, M.: Topology of billiard problems, II, Duke Math. J. (in print), available as ArXiv preprint math. AT/0006085
8. Klingenberg, W.: Lectures on closed geodesics, Springer-Verlag, 1978
9. Totaro, B.: Configuration spaces of algebraic varieties, Topology, 35, 1057-1067 (1996)