Some Properties of Dirac–Einstein Bubbles

William Borrelli, Ali Maalaoui

Risultato della ricerca: Contributo in rivistaArticolo 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 originaleEnglish
pagine (da-a)N/A-N/A
RivistaTHE JOURNAL OF GEOMETRIC ANALYSIS
DOI
Stato di pubblicazionePubblicato - 2020

Keywords

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

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