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
收藏
页码：331 / 339
页数：9
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