activity
20062022
most citedMollifier Smoothing of tensor fields on differentiable manifolds and applications to Riemannian Geometry

6 citations · 12 across the 9 of their papers we have counts for

collaborators

9 papers

math.DG2022

Extremals on Lie groups with asymmetric polyhedral Finsler structures

Jéssica B. Prudencio, Ryuichi Fukuoka

In this work we study extremals on Lie groups endowed with a left invariant polyhedral Finsler structure. We use the Pontryagin's Maximal Principle (PMP) to find curves on the…

math.DG2020★ 1 cited

Geodesic fields for Pontryagin type -Finsler manifolds

Ryuichi Fukuoka, Hugo Murilo Rodrigues

Let be a differentiable manifold, be its tangent space at and be its tangent bundle. A -Finsler structure is a continuous…

math.DG2019★ 2 cited

Mollifier smoothing of -Finsler structures

Ryuichi Fukuoka, Anderson Macedo Setti

A -Finsler structure is a continuous function defined on the tangent bundle of a differentiable manifold such that its restriction to each ta…

math.DG2018

A large family of projectively equivalent -Finsler manifolds

Ryuichi Fukuoka

Let be a differentiable manifold and be its tangent bundle. A -Finsler structure on is a continuous function such that its restricti…

math.DG2017★ 1 cited

Sequence of induced Hausdorff metrics on Lie groups

Norbil L. Cordova Neyra, Ryuichi Fukuoka, Eduardo de A. Neves

Let be a left action of a Lie group on a differentiable manifold endowed with a metric (distance function) compatible with the topology of…

math.DG2016★ 2 cited

Induced Hausdorff metrics on quotient spaces

Ryuichi Fukuoka, Djeison Benetti

Let be a group, be a metric space, be a compact subspace of and be a left action by homeomorphisms of on . Denote …