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Some characterizations of expanding and steady Ricci solitons

Part of: Global differential geometry

Published online by Cambridge University Press:  13 March 2023

Márcio S. Santos Open the ORCID record for Márcio S. Santos [Opens in a new window]
Márcio S. Santos*
Affiliation:
Departamento de Matemática, Universidade Federal da Paraíba, João Pessoa, PB, Brazil
*
E-mail: marcio.santos@academico.ufpb.br
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Abstract

In this short note, we deal with complete noncompact expanding and steady Ricci solitons of dimension $n\geq 3.$ More precisely, under an integrability assumption, we obtain a characterization for the generalized cigar Ricci soliton and the Gaussian Ricci soliton.

Keywords

steadyexpandigcigarRicci solitonintegrability

MSC classification

Primary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 65 , Issue 2 , May 2023 , pp. 446 - 449
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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Footnotes

Dedicated to my daughter Aurora Vitória.

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