Article ID: | iaor20119053 |
Volume: | 51 |
Issue: | 2 |
Start Page Number: | 361 |
End Page Number: | 376 |
Publication Date: | Oct 2011 |
Journal: | Journal of Global Optimization |
Authors: | Udrite Constantin, Bejenaru Andreea |
Keywords: | global optimization, hypergraphs, approximation algorithms, Programming (convex), Lagrangian methods |
This paper extends the Riemannian convexity concept to action functionals defined by multiple integrals associated to Lagrangian differential forms on first order jet bundles. The main results of this paper are based on the geodesic deformations theory and their impact on functionals in Riemannian setting. They include the basic properties of Riemannian convex functionals, the Riemannian convexity of functionals associated to differential