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A Note on Kaehler Manifolds

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
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.
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FULL TEXT (PDF): 
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  • 6
1137-1140
  • English

REFERENCES

References: 

[1] A. L. Besse. Einstein Manifolds, Springer-Verlag, 1987.
[2] U. C. De and A. A. Shaikh. Differential Geometry of Manifolds, Alpha Science publishers,
U. K., 2007.
[3] L. P. Eisenhart. Riemannian Geometry, Princeton University Press, 1949.
[4] P. Peterson. Riemannian Geometry, Springer, p-33.
[5] K. Yano and M. Kon. Structures on manifolds, World Sci., 1984.

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