Miyaoka-Yau inequality for minimal projective manifolds of general type

TL;DR

This paper proves the Miyaoka-Yau inequality for minimal projective manifolds of general type using Kähler-Ricci flow, extending known results to higher dimensions.

Contribution

It introduces a new proof of the Miyaoka-Yau inequality for higher-dimensional manifolds via Kähler-Ricci flow, broadening the scope of previous methods.

Findings

Established the Miyaoka-Yau inequality for minimal projective manifolds of general type.

Demonstrated the effectiveness of Kähler-Ricci flow in proving geometric inequalities.

Extended classical results to higher dimensions.

Abstract

In this short note, we prove the Miyaoka-Yau inequality for minimal projective $n$-manifolds of general type by using K\"ahler-Ricci flow.