A canonical distribution on isoparametric submanifolds II

Cristian U. Sánchez ^[1]
1. [1] Universidad Nacional de Córdoba
  
  Universidad Nacional de Córdoba
  
  Argentina
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 2, 2021, págs. 491-513
Idioma: inglés
DOI: 10.33044/revuma.1799
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Resumen
- The present paper continues our previous work [Rev. Un. Mat. Argentina 61 (2020), no. 1, 113–130], which was devoted to showing that on every compact, connected homogeneous isoparametric submanifold M of codimension h ≥ 2 in a Euclidean space, there exists a canonical distribution which is bracket generating of step 2. In that work this fact was established for the case when the system of restricted roots is reduced. Here we complete the proof of the main result for the case in which the system of restricted roots is (BC)q, i.e., non-reduced.