A canonical distribution on isoparametric submanifolds III

• Cristián U. Sánchez ^[1]
  1. [1] Fa.M.A.F., Universidad Nacional de C´ordoba and CONICET, C´ordoba, Argentina
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 68, Nº. 2, 2025, págs. 437-458
• Idioma: inglés
• DOI: 10.33044/revuma.3993
• Enlaces
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• Resumen

  • The present paper is devoted to showing that on every compact, connected homogeneous isoparametric submanifold M = G/K of codimension h ≥ 2 in a Euclidean space, there exist canonical distributions which are generated by the compact symmetric spaces associated to M (i.e., those corresponding to the group G). The central objective is to show that all these distributions are bracket generating of step 2. To that end, formulae that complement those in the first article of this series (Rev. Un. Mat. Argentina 61, no. 1 (2020), 113–130) are obtained.

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