Harnack type inequality on Riemannian manifolds of dimension 5

TL;DR

This paper establishes estimates of the form sup  inf for functions on 5-dimensional Riemannian manifolds, contributing to the understanding of geometric inequalities in differential geometry.

Contribution

It provides new sup  inf estimates specifically tailored for 5-dimensional Riemannian manifolds, extending previous inequalities to this setting.

Findings

Derived sup  inf inequalities for 5D manifolds

Extended Harnack type inequalities to higher dimensions

Enhanced understanding of geometric analysis in dimension five

Abstract

We give some estimates of type sup $\times$ inf on Riemannian manifold of dimension 5.