Yasuaki Fujitani

collaborators

4 papers

math.DG2023

Analysis of harmonic functions under lower bounds of $N$ -weighted Ricci curvature with $ε$ -range

Yasuaki Fujitani

The behavior of harmonic functions on Riemannian manifolds under lower bounds of the Ricci curvature has been studied from both analytic and geometric viewpoints. For example, some…

math.DG2023

Aronson-Bénilan gradient estimates for porous medium equations under lower bounds of $N$ -weighted Ricci curvature with $N < 0$

Yasuaki Fujitani

The Aronson-Bénilan gradient estimate for the porous medium equation has been studied as a counterpart to the Li-Yau gradient estimate for the heat equation. In this paper, we give…

math.DG2022

Some functional inequalities under lower Bakry-Émery-Ricci curvature bounds with $ε$ -range

Yasuaki Fujitani

For $n$ -dimensional weighted Riemannian manifolds, lower $m$ -Bakry-Émery-Ricci curvature bounds with $ε$ -range, introduced by Lu-Minguzzi-Ohta, integrate constant lower b…

math.DG2022

Information geometry of warped product spaces

Yasuaki Fujitani

Information geometry is an important tool to study statistical models. There are some important examples in statistical models which are regarded as warped products. In this paper,…

Analysis of harmonic functions under lower bounds of N-weighted Ricci curvature with ε-range

Aronson-Bénilan gradient estimates for porous medium equations under lower bounds of N-weighted Ricci curvature with N<0

Some functional inequalities under lower Bakry-Émery-Ricci curvature bounds with ε-range

Information geometry of warped product spaces

Analysis of harmonic functions under lower bounds of $N$ -weighted Ricci curvature with $ε$ -range

Aronson-Bénilan gradient estimates for porous medium equations under lower bounds of $N$ -weighted Ricci curvature with $N < 0$

Some functional inequalities under lower Bakry-Émery-Ricci curvature bounds with $ε$ -range