On p-tuples of the Grassmann manifolds

Autor: Joël Rouyer
Rok vydání: 2013
Předmět:
Zdroj: Journal of Geometry. 104:165-200
ISSN: 1420-8997
0047-2468
Popis: We provide a matrix invariant for isometry classes of p-tuples of points in the Grassmann manifold \({G_{n}\left(\mathbb{K}^{d}\right) }\) (\({\mathbb{K=\mathbb{R}}}\) or \({\mathbb{C}}\)). This invariant fully characterizes the p-tuple. We use it to classify the regular p-tuples of \({G_{2}\left(\mathbb{R}^{d}\right) }\) , \({G_{3}\left( \mathbb{R}^{d}\right) }\) and \({G_{2}\left( \mathbb{C}^{d}\right) }\) .
Databáze: OpenAIRE
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