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We relax the conditions related to the almost product structure and in such a way introduce a wider class of generalized para-K?hler spaces. Some properties of the curvature tensors as… Click to show full abstract
We relax the conditions related to the almost product structure and in such a way introduce a wider class of generalized para-K?hler spaces. Some properties of the curvature tensors as well as those of the corresponding Ricci tensors of these spaces are pointed out. We consider holomorphically projective mappings between generalized para-K?hler spaces in Eisenhart?s sense. Also, we examine some invariant geometric objects with respect to equitorsion holomorphically projective mappings. These geometric objects reduce to the para-holomorphic projective curvature tensor in case of holomorphically projective mappings between usual para-K?hler spaces.
Journal Title: Filomat
Year Published: 2019
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