On complex infinite-dimensional Grassmann manifolds

• Autores: Daniel Beltita, José Esteban Galé Gimeno
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 10, 2008, págs. 1-15
• Idioma: inglés
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• Resumen

  • We investigate geometric properties of Grassmann manifolds and their complexifications in an infinite-dimensional setting. Specific structures of quaternionic type are constructed on these complexifications by a direct method that does not require any use of the cotangent bundles.