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