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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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