Conformal Dirac-Einstein equations on manifolds with boundary
Differential Geometry
2022-10-14 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.2204.00031,
title = {Conformal Dirac-Einstein equations on manifolds with boundary},
author = {William Borrelli and Ali Maalaoui and Vittorio Martino},
journal= {arXiv preprint arXiv:2204.00031},
year = {2022}
}
Comments
40 pages.The first part of the proof of Theorem 1.6 has been rewritten. Minor changes. Final version, to appear on Calc. Var. PDE