CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Connectedness of the algebraic set of vectors generating planar normal sections of homogeneous isoparametric hypersurfaces
Autor/es:
SANCHEZ, CRISTIAN URBANO
Revista:
REVISTA DE LA UNIóN MATEMáTICA ARGENTINA
Editorial:
UNION MATEMATICA ARGENTINA
Referencias:
Lugar: Bahia Blanca; Año: 2017 vol. 56 p. 119 - 133
ISSN:
0041-6932
Resumen:
Let M Sn+1 Rn+2 be a homogeneous isoparametric hypersurfaceand consider the algebraic set of unit tangent vectors generating planarnormal sections at a point E 2 M (denoted by bXE [M] TE (M)). Thepresent paper is devoted to prove that bXE [M] is connected by arcs.. Thisin turn proves that its projective image X [M] RP (TE (M)) also hasthis property.