Lifting of a Riemannian flag and Lie flags of the \(n+1\)-dimensional hyperbolic torus (Q819613)
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scientific article; zbMATH DE number 5016091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lifting of a Riemannian flag and Lie flags of the \(n+1\)-dimensional hyperbolic torus |
scientific article; zbMATH DE number 5016091 |
Statements
Lifting of a Riemannian flag and Lie flags of the \(n+1\)-dimensional hyperbolic torus (English)
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29 March 2006
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The author shows that any flag of Riemannian foliations on a compact connected orientable Riemannian manifold lifts on the bundle of transverse direct orthonormal frames to a flag of transversally parallelizable foliations. This result permits to obtain a classification of \((n+ 1)\)-dimensional compact orientable Riemannian manifolds for which the dimension of the structural Lie algebra of the flow is equal to \(n\) or \(n-1\).
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foliation
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flag
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Riemannian flag
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\(n\)-dimensional hyperbolic torus
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0.7791085839271545
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0.7243629097938538
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0.7216415405273438
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0.7174661159515381
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