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In this paper, we endow the right half plane with warped product metrics. Of our interest are two of those metrics: they have zero and unbounded negative sectional curvature, respectively, and both of them are not complete. The group of holomorphic isometries of both metrics is isomorphic to the real additive group.

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Half Plane Geometries: Zero and Unbounded Negative Curvature

  • 会议论文

  • 发表日期：

    2025年

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  • Ioannis D. Platis,
  • Li-Jie Sun

摘要

In this paper, we endow the right half plane with warped product metrics. Of our interest are two of those metrics: they have zero and unbounded negative sectional curvature, respectively, and both of them are not complete. The group of holomorphic isometries of both metrics is isomorphic to the real additive group.