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ArticleOriginal scientific text

Title

On implicit Lagrangian differential systems

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

Abstract

Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).

Keywords

ENG
implicit differential equation, symplectic manifold, integrability, Lagrangian manifold

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Annales Polonici Mathematici
2000/74/1
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Pages:
133-141
Main language of publication
English
Received
1999-07-20
Accepted
2000-01-03
Published
2000
Exact and natural sciences