The Gauss map for Lagrangean and isoclinic surfaces

2013/04/08 by Jose Basto-Gonçalves, Basto-Gonçalves, Jose
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1304.2237

arxiv created 2013/04/08 · arxiv updated 2013/04/09

Abstract

Simple properties of the Gauss map characterise important classes of surfaces in \Rq: R-surfaces, the real version of plane complex curves; Lagrangean surfaces; isoclinic surfaces.

Related

• The surface of Gauss double points
• Function-theoretic properties for the Gauss maps of various classes of surfaces
• An estimate for the Gauss curvature of minimal surfaces in \mathbb R^m whose Gauss map omits a set of hyperplanes
• Gauss map of a harmonic surface
• On Surfaces in Rⁿ via Gauss Map, Caustics, Duality and Pseudo Euclidean Geometry of Quadratic Forms