關于 Kaehler-Einstein流形上Rastogi聯絡的一點注記

宋曉新, 王紅菲

(1.河南大學數學與信息科學學院,河南開封 475001; 2.河南大學應用數學研究所,河南開封 475001; 3.開封大學五年制工作部,河南開封 475004)

關于 Kaehler-Einstein流形上Rastogi聯絡的一點注記

宋曉新1,2, 王紅菲3

(1.河南大學數學與信息科學學院,河南開封 475001; 2.河南大學應用數學研究所,河南開封 475001; 3.開封大學五年制工作部,河南開封 475004)

研究Kaehler-Einstein流形M上Rastogi;聯絡的擬共形曲率張量場Wˉ,證明了若Wˉ是平行的,則 M是擬共形對稱的.也得到關于M共圓對稱的對應條件和結果,推廣了Rastogi,賈興琴等的工作.

Kaehler-Einstein流形;對稱度量聯絡;擬共形曲率張量場

1 引 言

2 預備知識

3 Kaehler流形上的Rastogi聯絡

4 Kaehler-Einstein流形上的擬共形曲率張量場

5 主要結果

致謝 本文得到巴黎大學博士吳報強教授指點與幫助,謹致深切的謝意!

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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 fieldsˉW of Rastogi Connections in Kaehler-Einstein Manifolds M has been studied.We p roved that M is of quasi conformal symmetric ifˉW 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

河南省教育廳自然科學基金(2008B110002,200510475038);河南大學自然科學基金(2004YB12W 042)