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From Wikipedia, the free encyclopedia

Victor Bangert
Bangert at Oberwolfach, 2004
Born (1950-11-28) 28 November 1950 (age 73)
NationalityGerman
Alma mater Universität Dortmund
Scientific career
Fields Mathematics
Institutions Albert-Ludwigs-Universität Freiburg

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


From Wikipedia, the free encyclopedia

Victor Bangert
Bangert at Oberwolfach, 2004
Born (1950-11-28) 28 November 1950 (age 73)
NationalityGerman
Alma mater Universität Dortmund
Scientific career
Fields Mathematics
Institutions Albert-Ludwigs-Universität Freiburg

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



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