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arXiv · 2204.00031

Conformal Dirac-Einstein equations on manifolds with boundary

William Borrelli·Ali Maalaoui·Vittorio Martino
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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.

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William Borrelli, Ali Maalaoui, Vittorio Martino. 2022-10-13. Conformal Dirac-Einstein equations on manifolds with boundary. https://arxiv.org/abs/2204.00031

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