On non-compact gradient solitons
Differential Geometry
2023-06-12 v2
Abstract
In this paper we extend existing results for generalized solitons, called -solitons, to the complete case by considering non-compact solitons. By placing regularity conditions on the vector field and curvature conditions on , we are able to use the chosen properties of the tensor to see that such non-compact -solitons are stationary and -flat. We conclude by applying our results to the examples of ambient obstruction solitons, Cotton solitons, and Bach solitons to demonstrate the utility of these general theorems for various flows.
Keywords
Cite
@article{arxiv.2207.05822,
title = {On non-compact gradient solitons},
author = {Antonio W. Cunha and Erin Griffin},
journal= {arXiv preprint arXiv:2207.05822},
year = {2023}
}
Comments
Necessary update after major changes to theorem numbering and corrections were made