Some QCH Kahler surfaces with zero scalar curvature

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∈[-1,1] is of orthotoric type for k∈(-1,1) and of Calabi type for k∈\-1,1\ and the Burn's metric is of Calabi type.

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