Hessian of the Busemann function on Damek-Ricci spaces

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).

arXiv comment12 pages

References in corpus (1)

• Hessian of Busemann functions and rank of Hadamard manifolds