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).
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2021
- DOI:
- arXiv:
- arXiv:2110.08806
- Bibcode:
- 2021arXiv211008806S
- Keywords:
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- Mathematics - Differential Geometry;
- 53C20;
- 58C40;
- 22E60
- E-Print:
- 12 pages