manuscripta mathematica

, Volume 108, Issue 2, pp 171–189

Harmonic maps in unfashionable geometries

  • Francis Burstall
  • Udo Hertrich-Jeromin

DOI: 10.1007/s002290200269

Cite this article as:
Burstall, F. & Hertrich-Jeromin, U. Manuscripta Math. (2002) 108: 171. doi:10.1007/s002290200269

Abstract

 We describe some general constructions on a real smooth projective 4-quadric which provide analogues of the Willmore functional and conformal Gauss map in Lie sphere and projective differential geometry. Extrema of these functionals are characterized by harmonicity of this Gauss map.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Francis Burstall
    • 1
  • Udo Hertrich-Jeromin
    • 2
  1. 1.Department of Mathematics, University of Bath, Bath BA2 7AY, UK. e-mail: feb@maths.bath.ac.ukGB
  2. 2.Department of Mathematics, TU Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany. e-mail: udo@sfb288.math.tu-berlin.deDE