On complete gradient Schouten solitons
Differential Geometry
2022-03-22 v2
Abstract
In this paper, we prove an optimal inequality between the potential function of a complete Schouten soliton and the norm of its gradient. We also prove that these metrics have bounded scalar curvature of defined sign. As an application, we prove that the potential function of a Shrinking Schouten soliton grows linearly and provide optimal estimates for the growth of the volume of geodesic balls, without any further assumption.
Keywords
Cite
@article{arxiv.2102.05605,
title = {On complete gradient Schouten solitons},
author = {Valter Borges},
journal= {arXiv preprint arXiv:2102.05605},
year = {2022}
}
Comments
Minor corrections