Artículo
Planar Normal Sections on Isoparametric Hypersurfaces and the infinity laplacian
Fecha de publicación:
11/2014
Editorial:
Unión Matemática Argentina
Revista:
Revista de la Unión Matemática Argentina
ISSN:
0041-6932
e-ISSN:
1669-9637
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The present article is devoted to present a new characterization of the Cartan isoparametric hypersurfaces in terms of properties of the polynomial, that determines the algebraic set of planar normal sections on the homogeneous isoparametric hypersurfaces in spheres. We show that Cartan isoparametric hypersurfaces are the only homo- geneous isoparametric hypersurfaces in spheres for which the Innity Laplacian of the polynomial that denes the algebraic set of planar normal sections is the polynomial multiplied by the squared norm of the tangent vector. Since it is required for our work, we also give these polynomials for all homogeneous isoparametric hypersurfaces in spheres.
Palabras clave:
Normal Sections
,
Infinity Laplacian
,
Isoparametric Hypersurfaces
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Barros, Julio; Sanchez, Cristian Urbano; Planar Normal Sections on Isoparametric Hypersurfaces and the infinity laplacian; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 55; 2; 11-2014; 107-121
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