Gap theorems for Ricci-harmonic solitons
Differential Geometry
2015-05-14 v1
Abstract
In the present paper, by using estimates for the generalized Ricci curvature, we shall give some gap theorems for Ricci-harmonic solitons showing some necessary and sufficient conditions for the solitons to be harmonic-Einstein. Our results may be regarded as a generalization of recent works by H. Li, and M. Fernandez-Lopez and E. Garcia-Rio.
Cite
@article{arxiv.1505.03194,
title = {Gap theorems for Ricci-harmonic solitons},
author = {Homare Tadano},
journal= {arXiv preprint arXiv:1505.03194},
year = {2015}
}