Minimal surfaces - Academic Year 2015-2016
Lecturer Prof. S. Wenger
Time

Start date
Fridays 10:15-12:00, Physics building 2.73

September 18, 2015
Goal:
The present course gives an introduction to the theory of minimal surfaces. Some topics that will be covered:
  • Riemannian metrics, mean curvature of submanifolds
  • First variation of area/volume
  • Parametric and non-parametric minimal surfaces, examples
  • Bernstein's theorem
  • Weierstrass representation
  • Omission of the Gauss map
  • Plateau's problem


  • Literature:
  • U. Dierkes, S. Hildebrandt, A. Kuester, O. Wohlrab: Minimal Surfaces, Springer 2010.
  • J.-H. Eschenburg, J. Jost: Differentialgeometrie und Minimalflaechen, Springer 2007.
  • H. B. Lawson: Lectures on Minimal Submanifolds, Publish or Perish 1980.
  • J. C. C. Nitsche: Lectures on Minimal Surfaces: Volume 1, Cambridge University Press 2011.
  • R. Osserman: A survey of Minimal Surfaces, Dover Publications 2002.
  • Homework:
    Homework posted on moodle