Geometry of real Grassmannian manifolds. III (Q1129774)
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scientific article; zbMATH DE number 1193403
| Language | Label | Description | Also known as |
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| English | Geometry of real Grassmannian manifolds. III |
scientific article; zbMATH DE number 1193403 |
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Geometry of real Grassmannian manifolds. III (English)
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10 August 1999
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In a previous paper [\textit{S. E. Kozlov}, ibid., 84-107 (1997; Zbl 0918.53008), see the preceding review], the author established a Plücker model for the Grassmannian manifolds \(G^+_{p,n}\). In the paper under review, stationary angles between (oriented or non-oriented) planes are introduced. The diameter and the injectivity radius of \(G^+_{p,n}\) are calculated. Finally, the closure of geodesics in \(G^+_{p,n}\) is determined.
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Grassmann manifold
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diameter
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radius of injectivity
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decomposition
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geodesics
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Plücker model
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stationary angles
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