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Zawartość zarchiwizowana w dniu 2024-05-29

Aspects of holonomy, decoupling and reduction of Lagrangian systems

Cel

"The mathematical theory of dynamical systems provides models for a large variety of phenomena in different areas of science. In this project, we will study the subclass of Lagrangian systems (including systems with non-holonomic constraints), but with an emphasis on rather pure geometrical aspects and methods. Although the starting point will be problems of quite practical interest in applied mathematics, namely the characterization of partial or full decoupling into substructures of regular Lagrangian sys tems and aspects of symmetry reduction of such systems, the methods which will be developed will require pure mathematics, specifically in the domain of differential geometry. Connections play an important role in the geometry of Lagrangian manifolds. An es sential difference with the situation on a Riemannian manifold is the fact that the linear connections which come with a Lagrangian manifold can most conveniently be situated on a specific vector bundle, namely the pullback bundle of the tangent bundle over itself. We will first investigate substructures of connections on the pullback bundle and link our results to the holonomy of these connections. The proposed study of Lagrangian holonomy groups should have direct applications in the study of separable La grangian systems. Progress that is made in this area, is expected to be quite directly extendable to the context of Lagrangian systems with non-holonomic constraints.The partner institution, UMich, has a leading research group in geometric mechanics. There fore, a long training period at UMich will both broaden an deepen the researcher's expertise. Further, the newly acquired skills will have a positive influence on the further developments at the host institution UGent. The current projects fits perfectly in the current views of the European Commission to enhance the support for fundamental research in future actions; the Marie Curie Fellowships are an exponent of this vision within the 6th Framework."

Dziedzina nauki (EuroSciVoc)

Słowa kluczowe

Temat(-y)

Zaproszenie do składania wniosków

FP6-2004-MOBILITY-6
Zobacz inne projekty w ramach tego zaproszenia

System finansowania

OIF - Marie Curie actions-Outgoing International Fellowships

Koordynator

GHENT UNIVERSITY
Wkład UE
Brak danych
Koszt całkowity
Brak danych

Uczestnicy (1)