Hessian of the Busemann function on Damek-Ricci spaces
Differential Geometry
2024-12-17 v2
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).
Cite
@article{arxiv.2110.08806,
title = {Hessian of the Busemann function on Damek-Ricci spaces},
author = {Hiroyasu Satoh},
journal= {arXiv preprint arXiv:2110.08806},
year = {2024}
}
Comments
12 pages