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math-ph2013★ 2 cited
Parameter invariant Lagrangian formulation of Kawaguchi geometry
Erico Tanaka
This Ph.D. thesis is devoted to the constructions of Lagrangian formulation on Finsler and Kawaguchi manifolds. While Finsler geometry is a natural extension of Riemannian geometry…
math.DG2013
On the structure of Finsler and areal spaces
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 functio…