GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE

被引：0

作者：

Güler Gürpinar Arsan

Gülcin Civi Yildirim

机构：

[1] Department of Mathematics Faculty of Science and Letters

[2] Istanbul Technical University 34469

[3] Maslak-Istanbul

[4] Turkey

来源：

ActaMathematicaScientia | 2005年 / 02期

关键词：

Weyl space; generalized circle; generalized concircular transformation; totally umbilical space; generalized concircular flat space;

D O I：

暂无

中图分类号：

O174.55 [拟共形映射（拟保角变换）、拟解析函数、广义解析函数];

学科分类号：

摘要：

The authors give the necessary and sufficient conditions for a generalized circle in a Weyl hypersurface to be generalized circle in the enveloping Weyl space. They then obtain the neccessary and sufficient conditions under which a generalized concircular transformation of one Weyl space onto another induces a generalized transformation on its subspaces. Finally, it is shown that any totally geodesic or totally umbilical hypersurface of a generalized concircularly flat Weyl space is also generalized concircularly flat.

引用

页码：331 / 339

页数：9

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