Conformal Dirac–Einstein equations on manifolds with boundary.

Authors

William Borrelli, Università Cattolica del Sacro Cuore, Campus di Brescia
Ali Maalaoui, Clark UniversityFollow
Vittorio Martino, Alma Mater Studiorum Università di Bologna

Document Type

Article

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.

Publication Title

Calculus of Variations and Partial Differential Equations

Publication Date

2023

Volume

62

Issue

1

ISSN

0944-2669

DOI

10.1007/s00526-022-02354-w

Keywords

spinor, Eigenvalue, Dirac Operator

Repository Citation

Borrelli, William; Maalaoui, Ali; and Martino, Vittorio, "Conformal Dirac–Einstein equations on manifolds with boundary." (2023). Mathematics. 17.
https://commons.clarku.edu/mathematics/17