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Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type by Nakagawa, Yasuhiro; Nakamura, Satoshi is a scholarly article available to read on EtoBox.

What is Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type about?

In this article we focus on multiplier Hermitian-Einstein metrics introduced by Mabuchi which include K\"ahler-Einstein metrics, K\"ahler-Ricci solitons and Mabuchi solitons as special cases. We also focus on KSM-manifolds, which are introduced by the first author as toric bundles, to establish a criterion for the existence of multiplier Hermitian-Einstein metrics in terms of KSM-data. An explicit example for a KSM-manifold admitting a family of multiplier Hermitian-Einstein metrics is constructed by using a continuous path connecting a K\"ahler-Ricci soliton and a Mabuchi soliton.

Author

Nakagawa, Yasuhiro; Nakamura, Satoshi

Published

2022

Language

EN