A characterization of Koiso's typed solitons

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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.
8 pages

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Differential Geometry, 53C55

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http://salesiana.dossiersoluciones.com/handle/123456789/154043

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0300
 http://arxiv.org/abs/0802.0300

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arXiv