Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications |
| |
| Authors: | Daniel Bustos Jaime Ripoll |
| |
| Institution: | 1. Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Ibagué, Colombia;2. Instituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil |
| |
| Abstract: | It is proven results about existence and nonexistence of unit normal sections of submanifolds of the Euclidean space and sphere, which associated Gauss maps, are harmonic. Some applications to constant mean curvature hypersurfaces of the sphere and to isoparametric submanifolds are obtained too. |
| |
| Keywords: | harmonic Gauss maps isoparametric submanifolds minimal surfaces surfaces with parallel mean curvature |
|
|
