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New examples of complete Ricci solitons

Author: Thomas Ivey
Journal: Proc. Amer. Math. Soc. 122 (1994), 241-245
MSC: Primary 53C21; Secondary 53C25, 58G11
MathSciNet review: 1207538
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Abstract: The Ricci soliton condition reduces to a set of ODEs when one assumes that the metric is a doubly-warped product of a ray with a sphere and an Einstein manifold. If the Einstein manifold has positive Ricci curvature, we show there is a one-parameter family of solutions which give complete noncompact Ricci solitons.

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Keywords: Ricci solitons
Article copyright: © Copyright 1994 American Mathematical Society