TY - JOUR
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
SN - 1050-6926
SP - N/A-N/A
JO - THE JOURNAL OF GEOMETRIC ANALYSIS
JF - THE JOURNAL OF GEOMETRIC ANALYSIS
ER -