Geometry of real Grassmannian manifolds. I, II (Q1129773)
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scientific article; zbMATH DE number 1193402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of real Grassmannian manifolds. I, II |
scientific article; zbMATH DE number 1193402 |
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Geometry of real Grassmannian manifolds. I, II (English)
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10 August 1999
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The author realizes the Plücker model of the real Grassmannian manifold as a submanifold of the Euclidean space \(\Lambda ({\mathbb R}^n)\) and establishes an isometry onto the classical Grassmannian manifold endowed with \(SO(n)\)-invariant metric. The decomposition of bi- and poly-vectors is studied. [For Part III, see the following review Zbl 0918.53009)].
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real Grassmannian manifold
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Plücker model
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decomposition
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bivectors
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polyvectors
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0.96124595
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0.96079075
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0.91280097
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0.9127189
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0.90908694
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