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A Poincaré Potential and Holomorphic Killing Vector Fields
초록
In this paper, we will show that if there is a locally defined potential function of the Poincar\'e metric with constant gradient length, then the length is determined by the Gaussian curvature. In order to show, we will study a holomorphic Killing vector field generated by the potential and its geometry. \end{abstract}
키워드
the Poincar\'e metric; holomorphic Killing vector fields
- 제목
- A Poincaré Potential and Holomorphic Killing Vector Fields
- 저자
- 이강혁
- 발행일
- 2025-09
- 유형
- Y
- 권
- 41
- 호
- 5
- 페이지
- 497 ~ 508