A lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons
Differential Geometry
2015-11-10 v3
Abstract
In this paper, we shall give a lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons. Our result may be regarded as a generalization to Ricci-harmonic geometry of the recent works by Fern\'andez-L\'opez and Garc\'ia-R\'io (Q. J. Math. 61, 319--327, 2010), Futaki and Sano (Asian J. Math. 17, 17--32, 2013), and Futaki \textit{et al} (Ann. Global Anal. Geom. 44, 105--114, 2013).
Keywords
Cite
@article{arxiv.1406.2861,
title = {A lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons},
author = {Homare Tadano},
journal= {arXiv preprint arXiv:1406.2861},
year = {2015}
}
Comments
6 pages, final version