On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds (Q431439)
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scientific article; zbMATH DE number 6050745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds |
scientific article; zbMATH DE number 6050745 |
Statements
On the dimension of the group of projective transformations of closed Randers and Riemannian manifolds (English)
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26 June 2012
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The paper contains a counterexample to Theorem 2 of [\textit{M. Rafie-Rad} and \textit{B. Rezaei}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 085, 12 p., (2011; Zbl 1243.53117)]. This theorem provides a statement about the dimension of the group of projective transformations of closed connected (\(n\geq3\))-dimensional Randers manifolds of constant flag curvature. V. S. Matveev constructs a Riemannian manifold of constant sectional curvature such that the dimension of its group of projective transformations contradicts the statement of the above cited theorem.
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Finsler metrics
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Randers metrics
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projective transformations
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