Victor Bangert

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Victor Bangert, Oberwolfach 2004

Victor Bangert (born November 28, 1950 in Osnabrück ) is a German mathematician who deals with differential geometry , calculus of variations and dynamic systems.

Bangert received his doctorate in 1977 from the University of Dortmund under Rolf Walter (convexity in Riemann manifolds). He completed his habilitation in Freiburg in 1980, received a Heisenberg scholarship in 1982 and completed his habilitation in Bonn in 1983. In 1985 he became an associate professor and in 1990 a full professor at the University of Bern, and in 1990 he moved to Freiburg as a full professor.

He made important contributions to closed geodesics in Riemannian manifolds . For example, in 1993 he proved independently of J. Franks that closed two-dimensional Riemannian manifolds have an infinite number of closed geodesics. In 1980 he proved that complete two-dimensional Riemannian manifolds of finite volume have an infinite number of closed geodesics. In 1988 he combined the Aubry-Mather theory with the theory of geodesics on two-dimensional tori .

He was invited speaker at the International Congress of Mathematicians in Zurich in 1994 (Minimal foliations and laminations).

Fonts

  • Closed geodesics on complete surfaces, Mathematische Annalen, Volume 251, 1980, pp. 83-96.
  • Geodesics and totally convex sets on surfaces, Inventiones Mathematicae, Volume 63, 1981, pp. 507-517
  • Sets with positive reach, Archive of Mathematics, Volume 38, 1982, pp. 54-57
  • with Wilhelm Klingenberg : Homology generated by iterated closed geodesics, Topology, Volume 22, 1983, pp. 379-388.
  • Geodetic lines on Riemann manifolds, Annual Report DMV, Volume 87, 1985, pp. 39-66
  • Mather sets for twist maps and geodesics on tori, in: U. Kirchgraber, H. Walther (Ed.), Dynamics reported, Volume 1, 1988, Chichester: Wiley, Teubner, pp. 1-56
  • Minimal geodesics, Ergodic Theory Dynam. Systems, Vol. 10, 1990, pp. 263-286.
  • On the existence of closed geodesics on two-spheres. Boarding school J. Math., Vol. 4, 1993, pp. 1-10.

Web links

Individual evidence

  1. ↑ Victor Bangert in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Bangert, Victor
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH November 28, 1950
PLACE OF BIRTH Osnabrück