F-traceless component of the conformal curvature tensor on Kahler manifold

被引：1
|
作者：
Funabashi, Shoichi [1 ]
Kim, Hang Sook [2 ,3 ]
Kim, Young-Mi [2 ,3 ]
Pak, Jin Suk [4 ]
机构：
[1] Nippon Inst Technol, Dept Math, Minami, Saitama 3458501, Japan
[2] Inje Univ, Dept Computat Math, Sch Comp Aided Sci, Kimhae 621749, South Korea
[3] Inje Univ, Inst Math Sci, Coll Nat Sci, Kimhae 621749, South Korea
[4] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 04期
关键词：
Kahler manifold; conformal curvature tensor; traceless decomposition; F-traceless decomposition; constant holomorphic sectional curvature; spectrum;
D O I：
10.4134/BKMS.2007.44.4.795
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate F-traceless component of the conformal curvature tensor defined by (3.6) in Kahler manifolds of dimension >= 4, and show that the F-traceless component is invariant under concircular change. In particular, we determine Kahler manifolds with parallel F-traceless component and improve some theorems, provided in the previous paper ([2]), which are concerned with the traceless component of the conformal curvature tensor and the spectrum of the Laplacian acting on p (0 <= p <= 2)forms on the manifold by using the F-traceless component.
引用
收藏
页码：795 / 806
页数：12
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