Work

Singular solutions for the conformal Dirac–Einstein problem on the sphere

Year: 2024

Type: article

Abstract: In this paper we investigate the existence of singular solutions to the conformal Dirac–Einstein system. Because of its conformal invariance, there are many similarities with the classical construction of singular solutions for the Yamabe problem. We construct here a family of singular solutions, on the three dimensional sphere, having exactly two singularities.

Source: Nonlinearity

DOI: 10.1088/1361-6544/ad9daa

Authors: Ali Maalaoui, Vittorio Martino, Tian Xu

Institutions: Clark University, University of Bologna, Zhejiang Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405731962

FWCI:

Cites: 25

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Related to: 10