2018/01/22 by Teng Huang, Huang, Teng
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons #math.DG
paper · pdf · doi:10.48550/arxiv.1801.06959
To appear in MAMA
openalex publication_date 2018/01/22 · arxiv created 2019/04/30 · arxiv updated 2019/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
IIn this article, we study the instanton equation on the cylinder over a closed manifold X which admits non-zero smooth 3-form P and 4-form Q. Our results are (1) if X is a good manifold, i.e., P,Q satisfying d∗XP=d∗XQ=0, then the instanton with integrable curvature decays exponentially at the ends, and, (2) if X is a real Killing spinor manifold, i.e., P,Q satisfying dP=4Q and d∗XQ=(n-3)∗XP, we prove that the solution of instanton equation is trivial under some mild conditions.