On some AC^{\perp} manifolds

TL;DR

This paper characterizes Gray AC^{ot} manifolds with a specific Ricci tensor eigenvalue structure, providing insights into their geometric properties.

Contribution

It offers a detailed description of Gray AC^{ot} manifolds with Ricci tensors having two eigenvalues of multiplicity 1 and dimension minus one.

Findings

Characterization of Gray AC^{ot} manifolds with specified Ricci eigenvalues

Identification of geometric structures related to these eigenvalues

Insights into the curvature properties of these manifolds

Abstract

We give a description of Gray AC^{\perp} manifolds $(M,g)$ whose Ricci tensor has two eigenvalues of multiplicity 1 and dim M-1.