Communications in Analysis and Geometry

Volume 31 (2023)

Number 8

On the existence of the conical Kähler–Einstein metrics on Fano manifolds

Pages: 2089 – 2100

DOI: https://dx.doi.org/10.4310/CAG.2023.v31.n8.a7

Author

Jiawei Liu (School of Mathematics and Statistics, Nanjing University of Science & Technology, Nanjing, China)

Abstract

In this paper, by using smooth approximation, we give a new proof of Donaldson’s existence conjecture that there exist conical Kähler–Einstein metrics with positive Ricci curvatures on Fano manifolds.

Full Text (PDF format)

The author is supported by the Special Priority Program SPP 2026 “Geometry at Infinity” from the German Research Foundation (DFG).

Received 26 March 2019

Accepted 12 October 2021

Published 10 August 2024