Messanae Universitas Studiorum

From integral manifolds and metrics to potential maps

Udriste, Constantin (2005) From integral manifolds and metrics to potential maps. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN (LXXXI-LXXXII). ISSN 1825-1242


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Our paper contains two main results: (1) the integral manifolds of a distribution together with two Riemann metrics produce potential maps which are in fact least squares approximations of the starting integral manifolds; (2) the least squares energy admits extremals satisfying periodic boundary conditions. Section 1 contains historical and bibliographical notes. Section 2 analyses some elements of the geometry produced on the jet bundle of order one by a semi-Riemann Sasaki-like metric. Section 3 describes the maximal integral manifolds of a distribution as solutions of a PDEs system of order one. Section 4 studies Poisson-like second-order prolongations of first order PDE systems and formulates the Lorentz-Udri

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Item Type: Article
Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
Depositing User: Mr Nunzio Femminò
Date Deposited: 10 Jun 2005
Last Modified: 13 Apr 2010 11:21

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