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. 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 Aubry–Mather theory.

Victor Bangert
Victor Bangert in 2004
NationalityGermany
Alma materUniversität Dortmund
Scientific career
FieldsMathematics
InstitutionsAlbert-Ludwigs-Universität Freiburg

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, 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
gollark: https://github.com/Vexu/routez is what I found after 22μs of duckduckgo.
gollark: Probably? I haven't checked.
gollark: Yes. I like how Lua does it, and potentially Zig and Kotlin.
gollark: Hmm. I'm sure *someone* must have thought of this at some point. I need a more principled™ way to share data between these modules than global variables.
gollark: Yes, the async thing seems to be related to the unremovable eldritch horrors, but I don't know how.

References
  1. Victor Bangert at the Mathematics Genealogy Project
  2. "International Mathematical Union (IMU)". Mathunion.org. Retrieved 2017-05-15.


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.