A characterization of Koiso's typed solitons

Bo Yang

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arXiv · 0802.0300

A characterization of Koiso's typed solitons

Bo Yang

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Abstract

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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BibTeX RIS

Bo Yang. 2008-02-04. A characterization of Koiso's typed solitons. https://arxiv.org/abs/0802.0300

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