Geodesically complete Lagrangians on manifolds

In this paper we prove the “Geodesic Connectivity” of a large class of Lagrangian Functions defined on a differentiable manifold. The study is carried on by means of “Convex neighborhoods” of suitable associated “Finsler Metrics”. Hence, these metrics are useful to solve the problem considered here,...

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Bibliographic Details
Main Authors: O. M. Amici, B. C. Casciaro
Format: Article
Language:English
Published: Sapienza Università Editrice 2009-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(2)/175-192.pdf