Stability of the Spinor Flow

2017/06/28 by Lothar Schiemanowski, Schiemanowski, Lothar · 1 citation
Mathematics · Physics and Astronomy · #53C25 #53C27 #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C25 #msc:53C27 #msc:53C44

paper · pdf · doi:10.48550/arxiv.1706.09292

22 pages

arxiv created 2017/06/28 · openalex publication_date 2017/06/28 · arxiv updated 2017/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show stability of pairs of Ricci flat metrics and parallel spinor fields with respect to the spinor flow, i.e. we show that the spinor flow with initial conditions near such pairs converges to a critical point with exponential speed. Moreover, we show stability of certain volume constrained critical points of the spinorial energy.

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