New examples of complete Ricci solitons-Reference-Cited by-同舟云学术

New examples of complete Ricci solitons

Published:1994 Issue:1 Volume:122 Page:241-245
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ivey Thomas

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-122-01/S0002-9939-1994-1207538-5/S0002-9939-1994-1207538-5.pdf

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