On a new class of embedded hypersurfaces in Rm+n with nonzero constant mean curvature

We build a new class of embedded hypersurfaces in Rm+n which have nonzero constant mean curvature and are O (m) x O (n)-invariant. For this we consider a 1-parameter family of planar vector fields associated to the differential equation of mean curvature.

Detalles Bibliográficos
Autores: Cruz, VA, Palmas, O, Reyes, JG
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/2270
Acceso en línea:http://hdl.handle.net/11154/2270
Access Level:acceso abierto
Palabra clave:Mathematics
mean curvature
O(m) x O(n)-invariant hypersurfaces
Descripción
Sumario:We build a new class of embedded hypersurfaces in Rm+n which have nonzero constant mean curvature and are O (m) x O (n)-invariant. For this we consider a 1-parameter family of planar vector fields associated to the differential equation of mean curvature.