Victor Bangert
Victor Bangert | |
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![]() Victor Bangert in 2004 | |
Nationality | Germany |
Alma mater | Universität Dortmund |
Scientific career | |
Fields | Mathematics |
Institutions | Albert-Ludwigs-Universität Freiburg |
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. He is a leading expert in the theory of closed geodesics, where one of his most celebrated result, combined with another one due to John Franks, implies that every Riemannian 2-sphere possesses infinitely many closed geodesics. He also made important contributions to .
He obtained his Ph.D. from Universität Dortmund in 1977 under the supervision of , with the thesis Konvexität in riemannschen Mannigfaltigkeiten.[1]
He served in the editorial board of manuscripta mathematica from 1996 to 2017.
Bangert was an invited speaker at the 1994 International Congress of Mathematicians in Zürich.[2]
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.
- 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
- ^ "International Mathematical Union (IMU)". Mathunion.org. Retrieved 2017-05-15.
- 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 978-0-8218-8999-2.
- "Prof. Dr. Victor Bangert" (in German). Retrieved 2010-09-10.
External links[]
- 20th-century German mathematicians
- 21st-century German mathematicians
- 1950 births
- Living people
- Geometers
- Dynamical systems theorists
- Scientists from Osnabrück
- German mathematician stubs