Projective spaces in the algebraic sets of planar normal sections of homogeneous isoparametric submanifolds

• Ana M. Giunta ^[1] ; Cristián Sánchez ^[2]
  1. [1] Universidad Nacional de San Luis

     Universidad Nacional de San Luis

     Argentina

     
  2. [2] CIEM-FaMAF, Argentina
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 55, Nº. 1, 2014, págs. 139-154
• Idioma: inglés
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• Resumen

  • The present paper is devoted to studying the algebraic sets of planar normal sections of homogeneous isoparametric submanifolds. The main objective is to describe the presence of real projective spaces in these algebraic sets. This indicates an important connection between homogeneous isoparametric submanifolds and the family of symmetric spaces of the corresponding group.