2 papers
math.AP2024
Conformal deformation of a Riemannian metric via an Einstein-Dirac parabolic flow
Yannick Sire, Tian Xu
We introduce a new parabolic flow deforming any Riemannian metric on a spin manifold by following a constrained gradient flow of the total scalar curvature. This flow is built out…
math.DG2024
Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
Ali Maalaoui, Vittorio Martino, Tian Xu
In this paper we investigate the existence of singular solutions to the conformal Dirac-Einstein system. Because of its conformal invariance, there are many similarities with the c…