Metrics of Eguchi-Hanson types with the negative constant scalar curvature

We construct two types of Eguchi-Hanson metrics with the negative constant scalar curvature. The type I metrics are Kahler. The type II metrics are ALH whose total energy can be negative. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

Two types of Eguchi-Hanson metrics with negative constant scalar curvature are constructed in this study. Type I metrics are Kahler, while type II metrics are ALH and can have negative total energy.