2001/03/26 by Francis E. Burstall, F. E. Burstall, Udo Hertrich-Jeromin +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons #math.DG #msc:53A20 #msc:53A40 #msc:53C43 #msc:58E20
paper · pdf · doi:10.1007/s002290200269
published as manuscripta math. 108 (2002) 171-189 · plain TeX, uses bbmsl for blackboard bold, 20 pages
arxiv created 2001/03/26 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.