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On Complex Infinite-Dimensional Grassmann Manifolds

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Abstract.

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.

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Authors and Affiliations

  1. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O.Box 1-764, Bucharest, Romania

    Daniel Beltiţă

  2. Departamento de Matemáticas Facultad de Ciencias, Universidad de Zaragoza, E-50009, Zaragoza, Spain

    José E. Galé

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  1. Daniel Beltiţă
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  2. José E. Galé
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Correspondence to Daniel Beltiţă.

Additional information

Communicated by G. Misra.

Submitted: January 4, 2008. Accepted: May 5, 2008.

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Beltiţă, D., Galé, J.E. On Complex Infinite-Dimensional Grassmann Manifolds. Complex Anal. Oper. Theory 3, 739 (2009). https://doi.org/10.1007/s11785-008-0077-7

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  • DOI: https://doi.org/10.1007/s11785-008-0077-7

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