Foliations on quaternion CR-submanifolds

• Autores: Stere Ianus, Mihai Ionescu, Gabriel Eduard Vîlcu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 3, 2008, págs. 739-751
• Idioma: inglés
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• Resumen

  • The purpose of this paper is to study the canonical foliations of a quaternion CR-submanifold of a quaternion Kähler manifold. Necessary and sufficient conditions are provided for these foliations to become totally geodesic and Riemannian, respectively. A characterization of QR-products in quaternion space forms is also given.