Some Properties of Dirac–Einstein Bubbles

William Borrelli; Ali Maalaoui

doi:10.1007/s12220-020-00503-1

Some Properties of Dirac–Einstein Bubbles

William Borrelli, Ali Maalaoui

Risultato della ricerca: Contributo in rivista › Articolo in rivista

2 Citazioni (Scopus)

Abstract

We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac–Einstein equations on R3, which appear in the bubbling analysis of conformal Dirac–Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin–Talenti functions, while the spinorial part is the conformal image of -12-Killing spinors on the round sphere S3.

Lingua originale	English
pagine (da-a)	N/A-N/A
Rivista	THE JOURNAL OF GEOMETRIC ANALYSIS
DOI	https://doi.org/10.1007/s12220-020-00503-1
Stato di pubblicazione	Pubblicato - 2020

Keywords

Conformally covariant equations
Dirac–Einstein equations
Ground state solutions
Killing spinors

Accesso al documento

10.1007/s12220-020-00503-1

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T1 - Some Properties of Dirac–Einstein Bubbles

AU - Borrelli, William

AU - Maalaoui, Ali

PY - 2020

Y1 - 2020

N2 - We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac–Einstein equations on R3, which appear in the bubbling analysis of conformal Dirac–Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin–Talenti functions, while the spinorial part is the conformal image of -12-Killing spinors on the round sphere S3.

AB - We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac–Einstein equations on R3, which appear in the bubbling analysis of conformal Dirac–Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin–Talenti functions, while the spinorial part is the conformal image of -12-Killing spinors on the round sphere S3.

KW - Conformally covariant equations

KW - Dirac–Einstein equations

KW - Ground state solutions

KW - Killing spinors

KW - Conformally covariant equations

KW - Dirac–Einstein equations

KW - Ground state solutions

KW - Killing spinors

UR - http://hdl.handle.net/10807/171299

U2 - 10.1007/s12220-020-00503-1

DO - 10.1007/s12220-020-00503-1

M3 - Article

SP - N/A-N/A

JO - THE JOURNAL OF GEOMETRIC ANALYSIS

JF - THE JOURNAL OF GEOMETRIC ANALYSIS

SN - 1050-6926

ER -