Greatest lower bounds on the transverse Ricci curvature of some toric Sasaki manifolds

Abstract

We determine the greatest lower bounds on the transverse Ricci curvature of compact toric Sasaki manifolds with positive basic first Chern class and with the first Chern class of the contact bundle being trivial. This is based on Wang-Zhu's and Futaki-Ono-Wang's works, and is an analogue of C. Li's work on toric Fano manifolds.

12 pages, revised version

References in corpus (3)

• Canonical Sasakian Metrics
• Monge-Ampère operators, energy functionals, and uniqueness of Sasaki-extremal metrics
• The Einstein-Hilbert functional and the Sasaki-Futaki invariant