Almost Hermitian Manifolds with Vanishing Generalized Bochner Curvature Tensor

TL;DR

This paper classifies non-Kaehler nearly Kaehler manifolds with vanishing Bochner curvature tensor, extending understanding of their geometric structure.

Contribution

It provides a classification theorem for a specific class of nearly Kaehler manifolds with vanishing Bochner curvature tensor.

Findings

Classification of non-Kaehler nearly Kaehler manifolds with vanishing Bochner curvature tensor

Extension of Tricerri and Vanhecke's work on Bochner curvature

New insights into the geometry of almost Hermitian manifolds

Abstract

We obtain a classification theorem for non Kaehler nearly Kaehler manifolds with vanishing Bochner curvature tensor (introduced by Tricerri and Vanhecke).