The rank of vector fields on real Grassmann manifolds (Q1197530)
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scientific article; zbMATH DE number 91663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rank of vector fields on real Grassmann manifolds |
scientific article; zbMATH DE number 91663 |
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The rank of vector fields on real Grassmann manifolds (English)
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16 January 1993
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The tangent bundle of a Grassmann manifold is canonically isomorphic to a homomorphism bundle. Therefore, it is natural to distinguish the rank of tangent vectors (and to consider not only the question whether they vanish or not). In this short note the author proves that no tangent vector field on a real Grassmann manifold has everywhere a rank strictly bigger than 1.
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rank of tangent vectors
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tangent vector field on a real Grassmann manifold
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