German mathematician
Victor Bangert (born 28 November 1950) is Professor of Mathematics at the Mathematisches Institut in Freiburg , Germany . His main interests are differential geometry and dynamical systems theory . He specialises in the theory of closed geodesics , wherein one of his significant results, 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 Aubry–Mather theory .
He obtained his Ph.D. from Universität Dortmund in 1977 under the supervision of Rolf Wilhelm Walter , 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, Victor (1980). "Closed geodesics on complete surfaces". Mathematische Annalen . 251 (1). Springer Science and Business Media LLC: 83–96. doi :10.1007/bf01420283 . ISSN 0025-5831 . S2CID 121131779 . Bangert, V.; Klingenberg, W. (1983). "Homology generated by iterated closed geodesics" . Topology . 22 (4). Elsevier BV: 379–388. doi :10.1016/0040-9383(83)90033-2 ISSN 0040-9383 . Bangert, V. (1988). "Mather Sets for Twist Maps and Geodesics on Tori". Dynamics Reported . Vol. 1. Wiesbaden: Vieweg+Teubner Verlag. pp. 1–56. doi :10.1007/978-3-322-96656-8_1 . ISBN 978-3-519-02150-6 ISSN 0936-6040 . Bangert, Victor (1990). "Minimal geodesics" . Ergodic Theory and Dynamical Systems . 10 (2). Cambridge University Press (CUP): 263–286. doi :10.1017/s014338570000554x ISSN 0143-3857 . S2CID 247631967 . Bangert, Victor (1993). "On the Existence of Closed Geodesics on Two-Spheres". International Journal of Mathematics . 04 (1). World Scientific Pub Co Pte Lt: 1–10. doi :10.1142/s0129167x93000029 . ISSN 0129-167X . Bangert, Victor (1994). "Geodesic rays, Busemann functions and monotone twist maps". Calculus of Variations and Partial Differential Equations . 2 (1). Springer Science and Business Media LLC: 49–63. doi :10.1007/bf01234315 . ISSN 0944-2669 . S2CID 120188519 . Bangert, Victor; Katz, Mikhail (24 April 2003). "Stable systolic inequalities and cohomology products". Communications on Pure and Applied Mathematics . 56 (7). Wiley: 979–997. arXiv :math/0204181 doi :10.1002/cpa.10082 . ISSN 0010-3640 . S2CID 14485627 . Bangert, Victor; Katz, Mikhail G.; Shnider, Steven; Weinberger, Shmuel (15 January 2009). "E7, Wirtinger inequalities, Cayley 4-form, and homotopy". Duke Mathematical Journal . 146 (1). Duke University Press. arXiv :math/0608006 doi :10.1215/00127094-2008-061 . ISSN 0012-7094 . S2CID 2575584 .
References
External links
International National Academics People
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