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arXiv · 1307.1036

On the structure of Finsler and areal spaces

Erico Tanaka·Demeter Krupka
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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.

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Erico Tanaka, Demeter Krupka. 2013-07-03. On the structure of Finsler and areal spaces. https://arxiv.org/abs/1307.1036

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