A canonical distribution on isoparametric submanifolds I.

SANCHEZ, CRISTIAN URBANO

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

UNION MATEMATICA ARGENTINA

Lugar: Bahia Blanca; Año: 2018

0041-6932

The present paper is devoted to show that on every compact, connected homogeneousisoparametric submanifold M of codimension h ≥ 2 in a Euclidean space, there exists a canonical distribution which is bracket generating of step 2. An interesting consequence (Corollary 2) of this fact is also indicated. In this Part 1 we consider only the case in which the system of restricted roots is reduced reserving for Part 2 the case of non-reduced restricted roots.