2004/07/27 by Robert L. Bryant, Bryant, Robert L. · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #53C55 #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C55
paper · pdf · doi:10.48550/arxiv.math/0407453
39 pages, v2: references, minor comments, and grammatical corrections added
openalex publication_date 2004/07/27 · arxiv created 2004/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some observations about the local and global generality of gradient Kahler Ricci solitons are made, including the existence of a canonically associated holomorphic volume form and vector field, the local generality of solutions with a prescribed holomorphic volume form and vector field, and the existence of Poincare coordinates in the case that the Ricci curvature is positive and the vector field has a fixed point.