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arXiv · 1202.0542

Geometric structures on finite- and infinite-dimensional Grassmannians

Andrea Blunck·Hans Havlicek
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Abstract

In this paper, we study the Grassmannian of n-dimensional subspaces of a 2n-dimensional vector space and its infinite-dimensional analogues. Such a Grassmannian can be endowed with two binary relations (adjacent and distant), with pencils (lines of the Grassmann space) and with so-called Z-reguli. We analyse the interdependencies among these different structures.

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Andrea Blunck, Hans Havlicek. 2012-01-31. Geometric structures on finite- and infinite-dimensional Grassmannians. https://doi.org/10.1007/s13366-012-0096-4

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