1307.1036 (Erico Tanaka et al.)

On the structure of Finsler and areal spaces    [PDF]

Erico Tanaka, Demeter Krupka

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.

View original: http://arxiv.org/abs/1307.1036