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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On gradient Ricci solitons with constant scalar curvature
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by Manuel Fernández-López and Eduardo García-Río PDF
Proc. Amer. Math. Soc. 144 (2016), 369-378 Request permission

Abstract:

We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous. This leads to a complete description of four- and six-dimensional Kähler gradient Ricci solitons with constant scalar curvature.
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Additional Information
  • Manuel Fernández-López
  • Affiliation: IES María Sarmiento, Consellería de Educación, Xunta de Galicia, Lugo, Spain
  • MR Author ID: 685993
  • Email: manufl@edu.xunta.es
  • Eduardo García-Río
  • Affiliation: Faculty of Mathematics, University of Santiago de Compostela, Santiago de Compostela, Galicia, Spain
  • MR Author ID: 291968
  • ORCID: 0000-0003-1195-1664
  • Email: eduardo.garcia.rio@usc.es
  • Received by editor(s): September 17, 2014
  • Received by editor(s) in revised form: December 12, 2014
  • Published electronically: June 26, 2015
  • Additional Notes: The authors were supported by projects GRC2013-045 and MTM2013-41335-P with FEDER funds (Spain)
  • Communicated by: Guofang Wei
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 369-378
  • MSC (2010): Primary 53C25, 53C20, 53C44
  • DOI: https://doi.org/10.1090/proc/12693
  • MathSciNet review: 3415603