On the structure of Finsler and areal spaces
Differential Geometry
2013-07-04 v1 Mathematical Physics
math.MP
Abstract
We study underlying geometric structures for integral variational functionals, depending on submanifolds of a given manifold. Applications include (first order) variational functionals of Finsler and areal geometries with integrand the Hilbert 1-form, and admit immediate extensions to higher-order functionals.
Keywords
Cite
@article{arxiv.1307.1036,
title = {On the structure of Finsler and areal spaces},
author = {Erico Tanaka and Demeter Krupka},
journal= {arXiv preprint arXiv:1307.1036},
year = {2013}
}
Comments
8 pages, Proceedings for AGMP-8, to be published in the special issue of Miskolc Mathematical Notes