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arXiv · 1808.10216

On nearly Kähler and Kähler-Codazzi type manifolds

Fernando Etayo·Araceli deFrancisco·Rafael Santamaría
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Abstract

Nearly Kähler and Kähler-Codazzi type manifolds are defined in a very similar way. We prove that nearly Kähler type manifolds have sense just in Hermitian and para-Hermitian contexts, and that Kähler-Codazzi type manifolds reduce to Kähler type manifolds in all the four Hermitian, para-Hermitian, Norden and product Riemannian geometries.

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Fernando Etayo, Araceli deFrancisco, Rafael Santamaría. 2018-08-30. On nearly Kähler and Kähler-Codazzi type manifolds. https://doi.org/10.1142/s0219887820500449

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