A LOWER DIAMETER BOUND FOR COMPACT DOMAIN MANIFOLDS OF SHRINKING RICCI-HARMONIC SOLITONS

作者：Tadano Homare^*

来源：Kodai Mathematical Journal, 2015, 38(2): 302-309.

DOI：10.2996/kmj/1436403892

• Ricci-harmonic flow
• Shrinking Ricci-harmonic soliton
• Lower diameter bound
• Witten-Laplacian
• Eigenvalue

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 Fernandez-Lopez and Garcia-Rio (Q. J. Math. 61, 319-327, 2010), Futaki and Sano (Asian J. Math. 17, 17-32, 2013), and Futaki et al. (Ann. Global Anal. Geom. 44, 105-114, 2013).

• 出版日期2015-6