关于 Kaehler-Einstein流形上Rastogi联络的一点注记

宋晓新, 王红菲

(1.河南大学数学与信息科学学院,河南开封 475001; 2.河南大学应用数学研究所,河南开封 475001; 3.开封大学五年制工作部,河南开封 475004)

关于 Kaehler-Einstein流形上Rastogi联络的一点注记

宋晓新1,2, 王红菲3

(1.河南大学数学与信息科学学院,河南开封 475001; 2.河南大学应用数学研究所,河南开封 475001; 3.开封大学五年制工作部,河南开封 475004)

研究Kaehler-Einstein流形M上Rastogi;联络的拟共形曲率张量场W¯,证明了若W¯是平行的,则 M是拟共形对称的.也得到关于M共圆对称的对应条件和结果,推广了Rastogi,贾兴琴等的工作.

Kaehler-Einstein流形;对称度量联络;拟共形曲率张量场

1 引 言

2 预备知识

3 Kaehler流形上的Rastogi联络

4 Kaehler-Einstein流形上的拟共形曲率张量场

5 主要结果

致谢 本文得到巴黎大学博士吴报强教授指点与帮助,谨致深切的谢意!

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A Remark on Rastogi Connections in Kaehler-Einstein Man ifolds

SONG Xiao-xin1,2, WANG Hong-fei3
(1.College of Mathematics and Info rmation Science,Henan Univ.,Kaifeng 475001,China;
2.Institute of App lied Mathematics,Henan University,Kaifeng 475001,China;
3.Dep t.of 5 years Work,Kaifeng Univ.,Kaifeng 475004,China)

Quasi conformal curvature tensor fields¯W of Rastogi Connections in Kaehler-Einstein Manifolds M has been studied.We p roved that M is of quasi conformal symmetric if¯W is of parallel.The corresponding condition and Result on concircular symmetric is also obtained.Works of Rastogi.Jai Xinqin have been generalized.

Kaehler-Einstein manifolds;quarter symmetric metiic connections;quasi conformal curvature tenso r

O186.16

A

1672-1454(2010)03-0060-04

2007-10-05

河南省教育厅自然科学基金(2008B110002,200510475038);河南大学自然科学基金(2004YB12W 042)