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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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New examples of complete Ricci solitons
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by Thomas Ivey PDF
Proc. Amer. Math. Soc. 122 (1994), 241-245 Request permission

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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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 241-245
  • MSC: Primary 53C21; Secondary 53C25, 58G11
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1207538-5
  • MathSciNet review: 1207538