Gradient Kahler Ricci Solitons
arXiv:math/0407453
Abstract
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.
39 pages, v2: references, minor comments, and grammatical corrections added