, Volume 108, Issue 2, pp 171-189

Harmonic maps in unfashionable geometries

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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.

Received: 3 August 2001