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arXiv:2409.12430 [math.AP]AbstractReferencesReviewsResources

Conformal deformation of a Riemannian metric via an Einstein-Dirac parabolic flow

Yannick Sire, Tian Xu

Published 2024-09-19Version 1

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 of the well-known Dirac-Einstein functional. We prove local well-posedness of smooth solutions. The present contribution is the first installment of more general program on the Einstein-Dirac problem.

Categories: math.AP, math.DG
Subjects: 53C27, 35R01
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