2018/11/13 by Peter Gilkey, Gilkey, P. B., JeongHyeong Park +3
Mathematics · Physics and Astronomy · #53C21 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1811.05197
openalex publication_date 2018/11/13 · openalex created_date 2018/11/29 · openalex updated_date 2026/07/28
An affine manifold is said to be geodesically complete if all affine geodesics extend for all time. It is said to be affine Killing complete if the integral curves for any affine Killing vector field extend for all time. We use the solution space of the quasi-Einstein equation to examine these concepts in the setting of homogeneous affine surfaces.