Mathematics

Conformal Dirac–Einstein equations on manifolds with boundary.

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

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