Hessian of the Busemann function on Damek-Ricci spaces

2021/10/17 by Satoh, Hiroyasu
#22E60 #53C20 #58C40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.08806

Abstract

In this note, we calculate the Hessian of the Busemann function on a Damek-Ricci space. We investigate the eigenvalues of the Hessian and show its positive definiteness (Theorem 1).

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