Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth

2024/12/07 by Luigi Fontana, Fontana, Luigi, Carlo Morpurgo +3 · 1 citation
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2412.05638

Abstract

We obtain sharp estimates for heat kernels and Green's functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds.

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