On rotationally symmetric Kahler-Ricci solitons

Abstract

In this note, using Calabi's method, we construct rotationally symmetric Kahler-Ricci solitons on the total space of direct sum of fixed hermitian line bundle and its projective compactification, where the curvature of hermitian line bundle is Kahler-Einstein. These examples generalize the construction of Koiso, Cao and Feldman-Ilmanen-Knopf.

arXiv comment12 pages. Some argument sharpened and some typos corrected

References in corpus (1)

• Soliton-type metrics and Kähler-Ricci flow on symplectic quotients

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