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ハマノ サチコ
HAMANO Sachiko
濱野 佐知子 所属 京都産業大学 理学部 数理科学科 職種 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2016/10 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Log-plurisubharmonicity of metric deformations induced by Schiffer and harmonic spans |
| 執筆形態 | 単著 |
| 掲載誌名 | MATHEMATISCHE ZEITSCHRIFT |
| 掲載区分 | 国外 |
| 出版社・発行元 | SPRINGER HEIDELBERG |
| 巻・号・頁 | 284(1-2),pp.491-505 |
| 著者・共著者 | Sachiko Hamano |
| 概要 | Every planar open Riemann surface R carries the Schiffer span and the harmonic span with respect to a point which are closely related to the conformal mappings. They induce the metrics and on R, respectively. We show that both metrics in fact coincide on R, have negative curvature everywhere and are complete. For a complex parameter t in a disk B, we study the variation of the metrics on R(t). We prove that if is a 2-dimensional Stein manifold with , then and are plurisubharmonic in R. |
| DOI | 10.1007/s00209-016-1663-4 |
| ISSN | 0025-5874/1432-1823 |