Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2008; 45(4): 953-963

Printed July 1, 2008

Copyright © The Korean Mathematical Society.

On paraholomorphically pseudosymmetric para-K\"ahlerian manifolds

Dorota Luczyszyn and Zbigniew Olszak

Wroclaw University of Technology, Wroclaw University of Technology

Abstract

We find necessary and sufficient conditions for a para-K\"ahlerian manifold to be paraholomorphically pseudosymmetric in terms of the paraholomorphic projective and Bochner curvatures. New examples of such spaces are proposed.

Keywords: para-Kahlerian manifold, paraholomorphic pseudosymmetry, paraholomorphic projective curvature, paraholomorphic Bochner curvature

MSC numbers: 53C15, 53C50, 53D05

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