Calculus of Variations and Geometric Measure Theory

W. Borrelli - A. Maalaoui - V. Martino

Conformal Dirac-Einstein equations on manifolds with boundary

created by borrelli on 04 Apr 2022
modified on 03 Oct 2022


Accepted Paper

Inserted: 4 apr 2022
Last Updated: 3 oct 2022

Journal: Calc. Var. PDE
Year: 2022

ArXiv: 2204.00031 PDF


In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for the Dirac operator. We characterize the bubbling phenomenon, also classifying ground state bubbles. Finally, we prove an Aubin-type inequality and a related existence result.