9 citations · 32 across the 9 of their papers we have counts for
9 papers
Super Finsler Connection of Superparticle on Two Dimensional Curved Spacetime
Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka +1
We analyze the Casalbuoni-Brink-Schwarz superparticle model on a 2-dimensional curved spacetime as a super Finsler metric defined on a (2,2)-dimensional supermanifold. We propose a…
Variational principle of relativistic perfect fluid
Takayoshi Ootsuka, Muneyuki Ishida, Erico Tanaka +1
We reformulate the relativistic perfect fluid system on curved space-time. Using standard variables, the velocity field ,energy density and pressure , the covariant Euler…
Energy-momentum conservation laws in Finsler/Kawaguchi Lagrangian formulation
Takayoshi Ootsuka, Ryoko Yahagi, Muneyuki Ishida +1
We reformulate the standard Lagrangian formalism to a reparameterisation invariant Lagrangian formalism by means of Finsler and Kawaguchi geometry. In our formalism, various types…
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…
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…
On Metrizability of Invariant Affine Connections
Erico Tanaka, Demeter Krupka
The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-me…