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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 772–777
(Mi smj1743)
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This article is cited in 1 scientific paper (total in 1 paper)
The Cartan model of the canonical vector bundles over the Grassmannian manifolds
B. Jovanović Mathematical Institute, Serbian Academy of Sciences and Arts
Abstract:
We give a representation of the canonical vector bundles $\mathcal C_{n,p}$ over the Grassmannian manifolds $G(n,p)$ as noncompact symmetric affine spaces together with their Cartan model in the group of the Euclidean motions $SE(n)$.
Keywords:
symmetric space, canonical vector bundle, Cartan model.
Received: 24.01.2006
Citation:
B. Jovanović, “The Cartan model of the canonical vector bundles over the Grassmannian manifolds”, Sibirsk. Mat. Zh., 48:4 (2007), 772–777; Siberian Math. J., 48:4 (2007), 616–620
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https://www.mathnet.ru/eng/smj1743 https://www.mathnet.ru/eng/smj/v48/i4/p772
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Abstract page: | 232 | Full-text PDF : | 71 | References: | 49 |
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