Bibliographic Details
| Title: |
On Bochner Flat Kähler B-Manifolds †. |
| Authors: |
Bejan, Cornelia-Livia1 (AUTHOR) bejanliv@yahoo.com, Nakova, Galia2 (AUTHOR) gnakova@gmail.com, Blaga, Adara M.3 (AUTHOR) adarablaga@yahoo.com |
| Superior Title: |
Axioms (2075-1680). Apr2023, Vol. 12 Issue 4, p336. 11p. |
| Subject Terms: |
*EINSTEIN manifolds, *CURVATURE |
| Geographic Terms: |
SCANDINAVIA |
| Abstract: |
We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional curvatures if and only if it is a holomorphic Einstein, Bochner flat manifold. Moreover, we provide the necessary and sufficient conditions for a gradient Ricci soliton or a holomorphic η -Einstein Kähler manifold with a Norden metric to be Bochner flat. Finally, we show that a Kähler B-manifold is of quasi-constant totally real sectional curvatures if and only if it is a holomorphic η -Einstein, Bochner flat manifold. [ABSTRACT FROM AUTHOR] |
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| Database: |
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