We prove the vanishing of the Futaki-type invariant defined by Tian and Zhu, which is an obstruction to the existence of Kähler-Ricci solitons.
"On the vanishing of the holomorphic invariants for Kähler-Ricci solitons." Proc. Japan Acad. Ser. A Math. Sci. 90 (3) 57 - 59, March 2014. https://doi.org/10.3792/pjaa.90.57