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arXiv · 1406.2861

A lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons

Homare Tadano
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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).

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Homare Tadano. 2014-06-11. A lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons. https://arxiv.org/abs/1406.2861

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