Some Remarks on Manifolds with Vanishing Bochner Tensor


Authors

Eileen May G. Cariaga - Institute of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City, Philippines Richard S. Lemence - Institute of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City, Philippines Marian P. Roque - Institute of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City, Philippines


Abstract

In this paper, we present our results on Einsteinian, almost Hermitian manifolds with Bochner tensor B = 0. It shall be shown that under some conditions, these Bochner flat manifolds are complex space forms. Moreover, they are also Kähler manifolds with a constant holomorphic sectional curvature. We also present an identity for the Riemannian curvature of a generalized complex space form.


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ISRP Style

Eileen May G. Cariaga, Richard S. Lemence, Marian P. Roque, Some Remarks on Manifolds with Vanishing Bochner Tensor, Journal of Mathematics and Computer Science, 2 (2011), no. 4, 631--638

AMA Style

Cariaga Eileen May G., Lemence Richard S., Roque Marian P., Some Remarks on Manifolds with Vanishing Bochner Tensor. J Math Comput SCI-JM. (2011); 2(4):631--638

Chicago/Turabian Style

Cariaga, Eileen May G., Lemence , Richard S., Roque, Marian P.. "Some Remarks on Manifolds with Vanishing Bochner Tensor." Journal of Mathematics and Computer Science, 2, no. 4 (2011): 631--638


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