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eBook Variational Principles for Second Order Differential Equations: Application of the Spencer Theory to Characterize Variational Sprays download

by Joseph Grifone,Zoltan Muzsnay

eBook Variational Principles for Second Order Differential Equations: Application of the Spencer Theory to Characterize Variational Sprays download ISBN: 9810237340
Author: Joseph Grifone,Zoltan Muzsnay
Publisher: World Scientific Pub Co Inc (May 26, 2000)
Language: English
Pages: 228
ePub: 1156 kb
Fb2: 1514 kb
Rating: 4.5
Other formats: azw mobi lrf txt
Category: Math Sciences
Subcategory: Mathematics

Mobile version (beta). J Grifone; ZoltaМЃn Muzsnay.

Mobile version (beta). Download (pdf, . 9 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi-Civita for some Riemann metric. To solve the inverse problem, the authors use the formal integrability theory of overdetermined partial differential systems in the schmidt version.

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If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi Civita for some Riemann metric. To solve the inverse problem, the authors use the formal integrability theory of overdetermined partial differential systems in the Spencer Quillen Goldschmidt version.

J Grifone, Z Muzsnay, J Saab. Nonlinear Analysis-Theory Methods and Applications 47 (4), 2643-2654, 2001.

J Grifone, Z n Muzsnay. World Scientific, 2000. J Grifone, Z Muzsnay, J Saab. On the inverse problem of the variational calculus: existence of Lagrangians associated with a spray in the isotropic case. J Grifone, Z Muzsnay. Annales de L institut fourier 49 (4), 1387-+, 1999.

Publisher: World Scientific. If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi-Civita for some Riemann metric.

A class of noncommutative algebras is introduced in which it is natural (from the viewpoint of the theory of helices) to deform projective spaces and also certain Fano varieties

Application of the Spencer theory to characterize variational sprays. A class of noncommutative algebras is introduced in which it is natural (from the viewpoint of the theory of helices) to deform projective spaces and also certain Fano varieties. It is shown that in the case of deformations of the projective plane this approach leads to algebras associated with. automorphisms of two-dimensional cubic curves. The main theorems of the book furnish a complete illustration of these techniques because all possible situations appear: involutivity, 2-acyclicity, prolongation, computation of Spencer cohomology, computation of the torsion, and more.

Joseph Grifone, Zoltán Muzsnay. An introduction to formal integrability theory of partial differential systems Frolicher-Nijenhuis theory of derivations differential algebraic formalism of connections necessary conditions fo. More). Web Theory and Related Topics. Joseph Grifone, Eliane Salem.

20. A. Grothendieck, Technique de descente et théorèmes d’existence en géometrie algébrique.

The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations. This book looks at second-order differential equations and asks if they can be written as Euler-Lagrangian equations. If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi-Civita for some Riemann metric.To solve the inverse problem, the authors use the formal integrability theory of overdetermined partial differential systems in the Spencer-Quillen-Goldschmidt version. The main theorems of the book furnish a complete illustration of these techniques because all possible situations appear: involutivity, 2-acyclicity, prolongation, computation of Spencer cohomology, computation of the torsion, etc.