Published Paper

Inserted: 4 apr 2022
Last Updated: 15 dec 2023

Journal: Calc. Var. PDE
Year: 2023
Doi: https://doi.org/10.1007/s00526-022-02354-w

Abstract:

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.