dorsal/arxiv
View SchemaOn the Law of Transformation of Affine Connection and its Integration. Part 1. Generalization of the Lame equations
| Authors | Valery S. Dryuma |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9803004 |
| URL | https://arxiv.org/abs/solv-int/9803004 |
| Journal | Buletinul Academiei de Stiinte a Republicii Moldova Matematica, v.1(26), 1998, p.55-68 |
Abstract
The law of transformation of affine connection for n-dimensional manifolds as the system of nonlinear equations on local coordinates of manifold is considered. The extension of the Darboux-Lame system of equations to the spaces of constant negative curvature is demonstrated. Geodesic deviation equation as well as the equations of geodesics are presented in the form of the matrix Darboux-Lame system of equations.
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"abstract": "The law of transformation of affine connection for n-dimensional manifolds as\nthe system of nonlinear equations on local coordinates of manifold is\nconsidered. The extension of the Darboux-Lame system of equations to the spaces\nof constant negative curvature is demonstrated. Geodesic deviation equation as\nwell as the equations of geodesics are presented in the form of the matrix\nDarboux-Lame system of equations.",
"arxiv_id": "solv-int/9803004",
"authors": [
"Valery S. Dryuma"
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"journal_ref": "Buletinul Academiei de Stiinte a Republicii Moldova Matematica,\n v.1(26), 1998, p.55-68",
"title": "On the Law of Transformation of Affine Connection and its Integration. Part 1. Generalization of the Lame equations",
"url": "https://arxiv.org/abs/solv-int/9803004"
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