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On the law of transformation of affine connection and its integration. Part 1. Generalization of the Lame equations. (English)
Authors: Driuma Valeriu
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.Academy of Science of Moldova
Academiei str. 5, Chisinau MD-2028, Moldova
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Academiei str. 5, Chisinau MD-2028, Moldova
E-mail:
Contents
- Konstantin Sergeevich Sibirsky (1928 - 1990). A tribute in honor of his 70th birthday.
- Hilbert's series for comitants graded algebras of differential equations. (English)
- Smooth linearization near a three-dimensional saddle. (English)
- Recurrent functions and recurrent solutions of differential equations. (Russian)
- Lyapunov functions for cocycle attractors in nonautonomous difference equations. (English)
- Attractors for stochastic differential equations with nontrivial noise. (English)
- On the law of transformation of affine connection and its integration. Part 1. Generalization of the Lame equations. (English)
- Types of the critical points for quadratic system with a center of symmetry. (English)
- The differential operators and multiplicity of singular points for polynomial differential system. (English)
- Poisson stability of mappings with respect to a semigroup. (English)
- On partial recurrent solutions of completely integrable systems. (English)
- Coefficient conditions for the repartition of multiplicity between 2 real double infinite singular points of cubic differential system. (English)
- $L_p$-theory of generalized solutions of model boundary value problems for parabolic equations. (English)
- Local phase portraits of two-dimensional analytical systems principal parts of which do not contain parameters. (English)
