On the Bochner Curvature Tensor in an Almost Hermitian Manifold

TL;DR

This paper proves a classification theorem for RK-manifolds with specific invariant dependencies related to antiholomorphic planes in almost Hermitian manifolds.

Contribution

It introduces a new classification theorem for RK-manifolds based on the linear dependence of invariants of antiholomorphic planes.

Findings

Classification of RK-manifolds achieved

Linear dependence conditions characterized

New invariants related to antiholomorphic planes identified

Abstract

A classification theorem for RK-manifolds with linear dependence between invariants of an antiholomorphic plane in the tangent space is proved.