Hokkaido Mathematical Journal 

About: Hokkaido Mathematical Journal is an academic journal published by Department of Mathematics, Hokkaido University. The journal publishes majorly in the area(s): Space (mathematics) & Scalar curvature. It has an ISSN identifier of 0385-4035. Over the lifetime, 1311 publications have been published receiving 12773 citations. The journal is also known as: Hokkaido sūgaku zasshi.

Anisotropic motion by mean curvature in the context of Finsler geometry

Abstract: Abstract. We study the anisotropic motion of a hypersurface in the context of the geometry of Finsler spaces. This amounts in considering the evolution in relative geometry, where all quantities are referred to the given Finsler metric \\phi representing the anisotropy, which we allow to be a function of space. Assuming that \\phi is strictly convex and smooth, we prove that the natural evolution law is of the form “velocity =H_{\\phi}”, where

Parabolic geometries and canonical Cartan connections

Abstract: Let G be a (real or complex) semisimple Lie group, whose Lie algebra g is endowed with a so called |k|–grading, i.e. a grading of the form g = g−k ⊕ · · · ⊕ gk, such that no simple factor of G is of type A1. Let P be the subgroup corresponding to the subalgebra p = g0 ⊕ · · · ⊕ gk. The aim of this paper is to clarify the geometrical meaning of Cartan connections corresponding to the pair (G,P ) and to study basic properties of these geometric