Some Properties of Dirac–Einstein Bubbles

William Borrelli; A. Maalaoui

doi:10.1007/s12220-020-00503-1

Some Properties of Dirac–Einstein Bubbles

William Borrelli
, A. Maalaoui^*

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

American University of Ras Al Khaimah

Risultato della ricerca: Contributo in rivista › Articolo

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

All Science Journal Classification (ASJC) codes

Geometria e Topologia

Keywords

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

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10.1007/s12220-020-00503-1

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KW - Dirac–Einstein equations

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KW - Killing spinors

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KW - Ground state solutions

KW - Killing spinors

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Some Properties of Dirac–Einstein Bubbles

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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