Weyl-mechanical systems on tangent manifolds of constant W-sectional curvature (Q2865241)
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scientific article; zbMATH DE number 6234548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl-mechanical systems on tangent manifolds of constant W-sectional curvature |
scientific article; zbMATH DE number 6234548 |
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29 November 2013
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tangent structure
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Weyl geometry
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Lagrangian
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Hamiltonian
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Weyl-mechanical systems on tangent manifolds of constant W-sectional curvature (English)
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Let \((M,g,J)\) be a semi-Riemannian manifold endowed with a tangent structure \(J\) (that is \(J^2 = 0\)), which is compatible with the metric \(g\). First, the author studies the case when \(M\) is of constant \(J\)-sectional curvature. As an example is given the pseudo-Euclidean \(2n\)-dimensional space \(\mathbb R_n^{2n}\) of index \(n\). On this space, the Weyl-Euler-Lagrange and Weyl-Hamilton equations are studied. Some applications to Weyl-mechanical systems are given.
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