Affiliation:
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
AbstractIt 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.