HOLOMORPHIC MAPPINGS OF ONCE-HOLED TORI

被引：2

作者：

Masumoto, Makoto ^{[1
]}

机构：

[1] Yamaguchi Univ, Dept Math, Yamaguchi 7538512, Japan

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2016年 / 129卷

关键词：

ANALYTIC SELF-MAPPINGS; OPEN RIEMANN SURFACE; CONFORMAL-MAPPINGS; EXTREMAL LENGTHS; GENUS ONE;

D O I：

10.1007/s11854-016-0015-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be the space of marked once-holed tori and Y-0 be a Riemann surface with marked handle. We investigate geometric properties of the set T-a[Y-0] of X is an element of T that allow holomorphic mappings of X into Y-0. We also examine the set T-c[Y-0] of marked once-holed tori conformally embedded into Y-0. It turns out that T-a[Y-0] and T-c[Y-0] have several properties in common. Our basic tool is a new notion, called a handle condition.

引用

页码：69 / 90

页数：22

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