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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 | 2017/04 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Hyperbolic span and pseudoconvexity |
| 執筆形態 | その他 |
| 掲載誌名 | KYOTO JOURNAL OF MATHEMATICS |
| 出版社・発行元 | DUKE UNIV PRESS |
| 巻・号・頁 | 57(1),pp.165-183 |
| 著者・共著者 | Sachiko Hamano,Masakazu Shiba,Hiroshi Yamaguchi |
| 概要 | A planar open Riemann surface R admits the Schiffer span s(R, zeta) to a point zeta is an element of R. M. Shiba showed that an open Riemann surface R of genus one admits the hyperbolic span sigma(H)(R). We establish the variation formulas of sigma(H) (t) := sigma(H) (R(t)) for the deforming open Riemann surface R(t) of genus one with complex parameter tin a disk Delta of center 0, and we show that if the total space R = U-t is an element of Delta (t, R(t)) is a two-dimensional Stein manifold, then sigma(H) (t) is subharmoriic on Delta. In particular, sigma(H)(t) is harmonic on Delta if and only if R, is biholomorphic to the product Delta x R(0). |
| DOI | 10.1215/21562261-3759558 |
| ISSN | 2156-2261/2154-3321 |
| PermalinkURL | https://projecteuclid.org/euclid.kjm/1489201235 |