English

Harmonic maps in unfashionable geometries

Differential Geometry 2007-05-23 v1

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 both Lie sphere and projective differential geometry. Extrema of these functionals are characterized by harmonicity of this Gauss map.

Keywords

Cite

@article{arxiv.math/0103162,
  title  = {Harmonic maps in unfashionable geometries},
  author = {F. E. Burstall and U. Hertrich-Jeromin},
  journal= {arXiv preprint arXiv:math/0103162},
  year   = {2007}
}

Comments

plain TeX, uses bbmsl for blackboard bold, 20 pages

R2 v1 2026-07-22T16:37:50.614Z