Gradient Kahler Ricci solitons
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 Poincaré coordinates in the case
that the Ricci curvature is positive and the vector field has a fixed point. © Asterisque
321.
Type
Journal articlePermalink
https://hdl.handle.net/10161/13148Collections
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Robert Bryant
Phillip Griffiths Professor of Mathematics
My research concerns problems in the geometric theory of partial differential equations.
More specifically, I work on conservation laws for PDE, Finsler geometry, projective
geometry, and Riemannian geometry, including calibrations and the theory of holonomy.
Much of my work involves or develops techniques for studying systems of partial differential
equations that arise in geometric problems. Because of their built-in invariance
properties, these systems often have specia
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