Gradient Kahler Ricci Solitons
Differential Geometry
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0407453,
title = {Gradient Kahler Ricci Solitons},
author = {Robert L. Bryant},
journal= {arXiv preprint arXiv:math/0407453},
year = {2007}
}
Comments
39 pages, v2: references, minor comments, and grammatical corrections added