A note on kaehler manifolds

The object of the present paper is to prove that in a Kaehler manifold of dimension n >=; 4, div R = 0 and div C = 0 are equivalent, where 'div' denotes divergence and R and C denote the curvature tensor and Weyl conformal curvature tensor, respectively. 2000 Mathematics Subject Cla...

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Bibliographic Details
Published in:European journal of pure and applied mathematics 2010, Vol.3 (6), p.1137-1140
Main Author: DE, Uday Chand
Format: Article
Language:English
Online Access:Get full text
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Summary:The object of the present paper is to prove that in a Kaehler manifold of dimension n >=; 4, div R = 0 and div C = 0 are equivalent, where 'div' denotes divergence and R and C denote the curvature tensor and Weyl conformal curvature tensor, respectively. 2000 Mathematics Subject Classifications: 53C25.
ISSN:1307-5543
1307-5543