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^*

^*Corresponding author

Faculty of Mathematical, Physical and Natural Sciences

American University of Ras Al Khaimah

Research output: Contribution to journal › Article

2 Citations (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.

Original language	English
Pages (from-to)	N/A-N/A
Journal	THE JOURNAL OF GEOMETRIC ANALYSIS
Issue number	N/A
DOIs	https://doi.org/10.1007/s12220-020-00503-1
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

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

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10.1007/s12220-020-00503-1

Cite this

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AU - Borrelli, William

AU - Maalaoui, A.

PY - 2020

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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

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Some Properties of Dirac–Einstein Bubbles

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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