On Complex Infinite-Dimensional Grassmann Manifolds

. 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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Bibliographic Details
Published in:Complex analysis and operator theory 2009-12, Vol.3 (4), p.739-758
Main Authors: Beltiţă, Daniel, Galé, José E.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Description
Summary:. 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.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-008-0077-7