Gauss Metric on the Kummer Surface

Masahito Hayashi, Kazuyasu Shigemoto and Takuya Tsukioka
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Masahito Hayashi: Osaka Institute of Technology, Japan
Kazuyasu Shigemoto: Tezukayama University, Japan
Takuya Tsukioka: Bukkyo University, Japan

European Journal of Mathematics and Statistics, 2025, vol. 6, issue 1, 1-7

Abstract: On the Kummer surface, we have obtained two different Gauss metrices by parametrizing it in two ways. We have found that these Gauss metrices are not Ricci flat. The double sphere, which is the special case of the Kummer surface, has the Kähler metric and the first Chern class of it does not vanish. Its metric is the Einstein metric which is not Ricci flat.

Keywords: Double sphere; Gauss metric; Kummer surface (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:6:y:2025:i:1:id:14388

DOI: 10.24018/ejmath.2025.6.1.388

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