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arXiv · 2207.13468

Some QCH Kahler surfaces with zero scalar curvature

Włodzimierz Jelonek
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Abstract

In this paper we prove that some well known K\"ahler surfaces with zero scalar curvature are QCH K\"ahler. We prove that family of generalized Taub-Nut K\"ahler surfaces parametrized by $k\in[-1,1]$ is of orthotoric type for $k\in(-1,1)$ and of Calabi type for $k\in\{-1,1\}$ and the Burn's metric is of Calabi type.

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Włodzimierz Jelonek. 2022-07-27. Some QCH Kahler surfaces with zero scalar curvature. https://arxiv.org/abs/2207.13468

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