On nearly K\"{a}hler and K\"{a}hler-Codazzi type manifolds
Differential Geometry
2020-06-09 v1
Abstract
Nearly K\"{a}hler and K\"{a}hler-Codazzi type manifolds are defined in a very similar way. We prove that nearly K\"{a}hler type manifolds have sense just in Hermitian and para-Hermitian contexts, and that K\"{a}hler-Codazzi type manifolds reduce to K\"{a}hler type manifolds in all the four Hermitian, para-Hermitian, Norden and product Riemannian geometries.
Cite
@article{arxiv.1808.10216,
title = {On nearly K\"{a}hler and K\"{a}hler-Codazzi type manifolds},
author = {Fernando Etayo and Araceli deFrancisco and Rafael Santamaría},
journal= {arXiv preprint arXiv:1808.10216},
year = {2020}
}