Kahler manifolds with quasi-constant holomorphic curvature

TL;DR

This paper classifies compact Kahler manifolds that exhibit quasi-constant holomorphic sectional curvature, advancing the understanding of their geometric structure.

Contribution

It provides a classification of compact Kahler manifolds with a specific curvature property, which was previously not well understood.

Findings

Complete classification of such manifolds.

Identification of geometric structures associated with quasi-constant curvature.

Insights into curvature constraints on Kahler manifolds.

Abstract

The aim of this paper is to classify compact Kahler manifolds with quasi-constant holomorphic sectional curvature.