Existence of Gradient Kahler-Ricci Solitons

TL;DR

This paper investigates the existence of gradient Kahler-Ricci solitons, providing foundational results in complex differential geometry relevant to the study of geometric flows and Kähler manifolds.

Contribution

It establishes the existence of gradient Kahler-Ricci solitons, contributing to the understanding of geometric structures and Ricci flow in Kähler geometry.

Findings

Proves existence of gradient Kahler-Ricci solitons.

Provides methods applicable to complex geometric analysis.

Lays groundwork for further research in Ricci flow stability.

Abstract

This is the original paper appeared in the book "Elliptic and Parabolic Methods in Geometry (Minneapolis, MN,1994), A K Peters, Wellesley, MA, (1996)" (p.1-16), except with a few minor modifications as described at the end of the paper (on p.14). Due to frequent requests for the article, we decided to post it on the arXiv.