A characterization of Koiso's typed solitons

Details A characterization of Koiso's typed solitons A characterization of Koiso's typed solitons

2008-02-04

arxiv.org/abs/0802.0300v1

Mathematics

Differential Geometry

8 pages

Scientific paper

By extending Koiso's examples to the non-compact case, we construct complete
gradient Kahler-Ricci solitons of various types on certain holomorphic line
bundles over compact Kahler-Einstein manifolds. Moreover, a uniformization
result on steady gradient Kahler-Ricci solitons with non-negative Ricci
curvature is obtained under additional assumptions.

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