Homogeneous variational problems and Lagrangian sections

We define a canonical line bundle over the slit tangent bundle of a manifold, and define a Lagrangian section to be a homogeneous section of this line bundle. When a regularity condition is satisfied the Lagrangian section gives rise to local Finsler functions. For each such section we demonstrate h...

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Bibliographic Details
Main Author: Saunders D. J.
Format: Article
Language:English
Published: Sciendo 2016-12-01
Series:Communications in Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/cm.2016.24.issue-2/cm-2016-0008/cm-2016-0008.xml?format=INT