Harmonic maps in unfashionable geometries

Details Harmonic maps in unfashionable geometries Harmonic maps in unfashionable geometries

2001-03-26

arxiv.org/abs/math/0103162v1

manuscripta math. 108 (2002) 171-189

Mathematics

Differential Geometry

plain TeX, uses bbmsl for blackboard bold, 20 pages

Scientific paper

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

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