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Gauss Metric on the Kummer Surface

Author

Listed:
  • Masahito Hayashi

    (Osaka Institute of Technology, Japan)

  • Kazuyasu Shigemoto

    (Tezukayama University, Japan)

  • Takuya Tsukioka

    (Bukkyo University, Japan)

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.

Suggested Citation

Handle: RePEc:epw:ejmath:v:6:y:2025:i:1:id:14388
DOI: 10.24018/ejmath.2025.6.1.388
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