# Second Ricci flow on noncompact Hermitian manifolds

## TL;DR

This paper studies the second Ricci flow on complete noncompact Hermitian manifolds, establishing short-term existence and estimates, and explores its application in finding Kähler-Einstein metrics.

## Contribution

It introduces the short time existence and Shi's estimate for the second Ricci flow on noncompact Hermitian manifolds and applies it to Kähler-Einstein metric existence.

## Key findings

- Established short time existence of the flow
- Derived Shi's type estimate for the flow
- Applied flow to Kähler-Einstein metric existence

## Abstract

In this work, we first establish short time existence and Shi's type estimate of second Ricci flow on complete noncompact Hermitian manifolds. As an application, we use the second Ricci flow to discuss the existence of Kaehler-Einstein metric on complete noncompact Hermitian manifolds.