Remarks on Generalized Calabi-Gray Manifolds

TL;DR

This paper explores generalized Calabi-Gray manifolds, a class of non-Kähler complex manifolds, demonstrating their utility in addressing open questions in non-Kähler geometry.

Contribution

It shows how these manifolds can be applied to solve specific problems in non-Kähler geometry, highlighting their explicit geometric structure.

Findings

Generalized Calabi-Gray manifolds are non-homogeneous non-Kähler complex manifolds.

They can be used to answer open questions in non-Kähler geometry.

The paper provides new insights into the geometry of these manifolds.

Abstract

Generalized Calabi-Gray manifolds are non-K\"ahler complex manifolds with very explicit geometry yet not being homogeneous. In this note, we demonstrate that how generalized Calabi-Gray manifolds can be used to answer some questions in non-K\"ahler geometry.