| GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE |
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| 作者姓名： | Güler Gürpinar Arsan Gül |
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| 作者单位： | DepartmentofMathematics,FacultyofScienceandLetters,IstanbulTechnicalUniversity34469,Maslak-Istanbul,Turkey |
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| 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 oil 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.
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| 关 键 词： | 维尔空间 广义圆周 共园变换 脐状空间 广义共园平坦空间 黎曼几何 |
GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE |
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| Giiler Gurpinar Arsan Gulcm Civi Yildinm.GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE[J].Acta Mathematica Scientia,2005,25(2):331-339. |
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| Authors: | Giiler Gurpinar Arsan Gulcm Civi Yildinm |
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| Institution: | Giiler Gurpinar Arsan Gulcm Civi Yildinm Department of Mathematics,Faculty of Science and Letters,Istanbul Technical University 34469,Maslak-Istanbul,Turkey |
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| Abstract: | 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. |
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| Keywords: | Weyl space generalized circle generalized concircular transformation totally umbilical space generalized concircular flat space |
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