Hypersurfaces of the spherical type degenerated

• Autores: Carrion Riveros, Carlos Maber, V. Corro, Armando M., G. Dias, Diogo
• Formato: artículo
• Fecha de Publicación: 2020
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: inglés; español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/3111
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3111
• Nivel de acceso: acceso abierto
• Materia: Superficies EDSGW; superficies de tipo esférico; función soporte; líneas de curvatura; EDSGW-surfaces; surfaces of the spherical type; support function; planar lines of curvature

In this work, we dene the hypersurfaces of the spherical type degenerated (in short DST-hypersurfaces), these hypersurfaces has the geometric property that the middle spheres pass through the origin of the Euclidean space. We present a representation for these hypersurfaces in the case where the stereographic projection of the Gauss map N is given by the identity application. We characterizethe DST-hypersurfaces through a diferential equation and we give an explicit example of a two-parameter family of DST-hypersurfaces with planar lines of curvature foliated by (n-1)-dimensional spheres. Moreover, we classify the DST-hypersurfaces of rotation.