ORIGINAL ARTICLE
Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications
Daniel Bustos,
Jaime Ripoll,
Corresponding Author
Daniel Bustos
Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Ibagué, Colombia
Correspondence
Daniel Bustos, Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Ibagué, Colombia.
Email: [email protected]
Search for more papers by this authorJaime Ripoll
Instituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
Search for more papers by this authorDaniel Bustos,
Jaime Ripoll,
Corresponding Author
Daniel Bustos
Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Ibagué, Colombia
Correspondence
Daniel Bustos, Escuela de Ciencias Básicas, Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Ibagué, Colombia.
Email: [email protected]
Search for more papers by this authorJaime Ripoll
Instituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
Search for more papers by this authorFirst published: 01 March 2023
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.
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