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A new construction of Einstein self-dual metrics

2001/09/24 by Radu Pantilie, Jonathan Wood, Pantilie, Radu +2
Mathematics · Physics and Astronomy · #53C43 (Secondary) #58E20 (Primary) #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53C43 #msc:58E20

paper · pdf · doi:10.48550/arxiv.math/0109184

17 pages, Latex 2e

arxiv created 2001/09/24 · openalex publication_date 2001/09/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new construction of Ricci-flat self-dual metrics which is a natural extension of the Gibbons--Hawking ansatz. We also give characterisations of both these constructions, and explain how they come from harmonic morphisms.

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