Geodesic vectors of the six-dimensional spaces (Q2733934)
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scientific article; zbMATH DE number 1633257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesic vectors of the six-dimensional spaces |
scientific article; zbMATH DE number 1633257 |
Statements
2 September 2001
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\(g.o.\) spaces
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homogeneous Riemannian manifold
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geodesic graphs
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Geodesic vectors of the six-dimensional spaces (English)
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A \(g.o.\) space is a homogeneous Riemannian manifold \((G/H, g)\) with the property that every geodesic is an orbit of a one-parameter subgroup of \(G\). The author obtains an explicit construction of the geodesic graphs in the case of 6-dimensional homogeneous spaces, by using the theory of \(g.o.\) spaces as exposed in \textit{C. S. Gordon} [Homogeneous Riemannian Manifolds whose Geodesics are Orbits, Topics in Geometry. In Memory of J. D'Atri, Birkhäuser, Prog. Nonlinear Differ. Equ. Appl. 20, 155--174 (1996; Zbl 0861.53052)].NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
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