Gradient Kahler Ricci Solitons

Details Gradient Kahler Ricci Solitons Gradient Kahler Ricci Solitons

2004-07-27

arxiv.org/abs/math/0407453v2

Mathematics

Differential Geometry

39 pages, v2: references, minor comments, and grammatical corrections added

Scientific paper

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.

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