Multiplier Hermitian-Einstein metrics on Fano manifolds on KSM-type
アブストラクト
We focus on Multiplier Hermitian-Einstein metrics introduced by Mabuchi which include Kahler-Einstien metrics, Kahler-Ricci solitons and Mabuchi solitons as special cases. We also focus on KSM-manifolds, which are introduced by Nakagawa, to establish a criterion for the existence of Multiplier Hermitian-Einstein metrics in terms of KSM-data. This is a joint work (arXiv:2204.01217) with Yasuhiro Nakagawa (Kumamoto Univ.).