2 citations · 3 across the 4 of their papers we have counts for
5 papers
Gap theorems for Ricci-harmonic solitons
Homare Tadano
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 cond…
An upper diameter bound for compact Ricci solitons with applications to the Hitchin-Thorpe inequality
Homare Tadano
In this article, stimulated by Fernandez-Lopez and Garcia-Rio, we shall give an upper diameter bound for compact Ricci solitons in terms of the range of the scalar curvature. As an…
Remark on a diameter bound for complete manifolds with positive Bakry-Émery Ricci curvature
Homare Tadano
In this paper, we shall give a new upper diameter estimate for complete Riemannian manifolds in the case that the Bakry-Émery Ricci curvature has a positive lower bound and the nor…
A lower diameter bound for compact domain manifolds of shrinking Ricci-harmonic solitons
Homare Tadano
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-harmo…
A note on lower bounds for the first eigenvalue of the Witten-Laplacian
Homare Tadano
In this note, by extending the arguments of Ling (Illinois J. Math. 51, 853-860, 2007) to Bakry-Emery geometry, we shall give lower bounds for the first nonzero eigenvalue of the W…