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

Differential Geometry 2020-12-30 v1 General Relativity and Quantum Cosmology

Abstract

We construct two types of Eguchi-Hanson metrics with the negative constant scalar curvature. The type I metrics are K\"{a}hler. The type II metrics are ALH whose total energy can be negative.

Keywords

Cite

@article{arxiv.2007.15964,
  title  = {Metrics of Eguchi-Hanson types with the negative constant scalar curvature},
  author = {Junwen Chen and Xiao Zhang},
  journal= {arXiv preprint arXiv:2007.15964},
  year   = {2020}
}

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14 pages