140 citations · 876 across the 74 of their papers we have counts for
74 papers
Finsler connection in moving frame formalism
Takayoshi Ootsuka, Muneyuki Ishida, Ryoko Yahagi
In our previous work, we have defined a nonlinear connection of Finsler manifold which preserves the Finsler metric . To make the method easier and more useful in applic…
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…
Cusp singularity in mean field Ising model
Yayoi Abe, Muneyuki Ishida, Erika Nozawa +2
An entropy of the Ising model in the mean field approximation is derived by the Hamilton-Jacobi formalism. We consider a grand canonical ensemble with respect to the temperature an…
Killing Symmetry on Finsler Manifold
Takayoshi Ootsuka, Ryoko Yahagi, Muneyuki Ishida
Killing vector fields are defined on Finsler manifold. The Killing symmetry is reformulated simply as by using the Killing non-linear 1-form and the spr…
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…