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Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein

Year: 2026

Type: preprint

Abstract: We prove that every extremal Kähler--Ricci soliton on a Fano manifold is Kähler--Einstein. This solves the problem of Calamai and Petrecca in full generality.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.23630

Author: Nitta, Yasufumi

Language: German

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W7214009308

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