Victor Bangert

Victor Bangert (born 28 November 1950, Osnabrück) is Professor of Mathematics at the Mathematisches Institut in Freiburg, Germany. His main interests are differential geometry and dynamical systems theory. In particular, he made important contributions to the study of closed geodesics in Riemannian manifolds, and to Aubry–Mather theory.

Selected Publications

• Bangert, V. (1980) Closed geodesics on complete surfaces. Math. Ann. 251, no. 1, 83–96.
• Bangert, V.; Klingenberg, W. (1983) Homology generated by iterated closed geodesics. Topology 22, no. 4, 379–388.
• Bangert, V. (1988) Mather sets for twist maps and geodesics on tori. Dynamics reported, Vol. 1, 1–56, Dynam. Report. Ser. Dynam. Systems Appl., 1, Wiley, Chichester.

The influential text on Mather sets was cited over 150 times in Google scholar in 2010.

• Bangert, V. (1990) Minimal geodesics. Ergodic Theory Dynam. Systems 10, no. 2, 263–286.
• Bangert, V. (1993) On the existence of closed geodesics on two-spheres. Internat. J. Math. 4, no. 1, 1–10.
• Bangert, V. (1994) Geodesic rays, Busemann functions and monotone twist maps. Calc. Var. Partial Differential Equations 2, no. 1, 49–63.
• Bangert, V.; Katz, M. (2003) Stable systolic inequalities and cohomology products, Communications on Pure Applied Mathematics 56, 979–997.
• Bangert, V; Katz, M.; Shnider, S.; Weinberger, S. (2009) E7, Wirtinger inequalities, Cayley 4-form, and homotopy. Duke Math. J. 146, no. 1, 35–70. See arXiv:math.DG/0608006

References

• Victor Bangert at the Mathematics Genealogy Project
• Cipra, Barry; Paul Zorn (1993). "Collaboration Closes in on Closed Geodesics". What's happening in the mathematical sciences, Volume 1 ,. American Mathematical Society. p. 27. ISBN 0-8218-8999-0. 
• "Prof. Dr. Victor Bangert" (in German). Retrieved 2010-09-10. 

External links

• personal webpage
• Oberwolfach photos of Victor Bangert