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.

Borrelli, W., Maalaoui, A., Some Properties of Dirac–Einstein Bubbles, <<THE JOURNAL OF GEOMETRIC ANALYSIS>>, N/A; (N/A): N/A-N/A. [doi:10.1007/s12220-020-00503-1] [http://hdl.handle.net/10807/171299]

Some Properties of Dirac–Einstein Bubbles

Borrelli, William;
2020

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.
2020
Inglese
Borrelli, W., Maalaoui, A., Some Properties of Dirac–Einstein Bubbles, <<THE JOURNAL OF GEOMETRIC ANALYSIS>>, N/A; (N/A): N/A-N/A. [doi:10.1007/s12220-020-00503-1] [http://hdl.handle.net/10807/171299]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/171299
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact