Variational Methods in Geometry

Survey Article

DOI: 10.1365/s13291-016-0155-0

Cite this article as:
Struwe, M. Jahresber. Dtsch. Math. Ver. (2017) 119: 71. doi:10.1365/s13291-016-0155-0
  • 95 Downloads

Abstract

Variational principles are ubiquitous in nature. Many geometric objects such as geodesics or minimal surfaces allow variational characterizations. We recall some basic ideas in the calculus of variations, also relevant for some of the most advanced research in the field today, and show how a subtle variation of standard methods can lead to surprising improvements, with numerous applications.

Mathematics Subject Classification

49-02 53-02 58-02 58E05 58E10 58E12 49Q05 58E20 

Copyright information

© Deutsche Mathematiker-Vereinigung and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.MathematikETH-ZürichZürichSwitzerland