A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons
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- by Manuel Fernández-López and Eduardo García-Río PDF
- Proc. Amer. Math. Soc. 141 (2013), 2145-2148 Request permission
Abstract:
We give a sharp lower bound for the scalar curvature of a steady gradient Ricci soliton in terms of the hyperbolic secant of the distance from a fixed point under the assumption that $2|Rc|^2\leq R^2$, a condition that is satisfied by any steady gradient Ricci soliton with nonnegative sectional curvature.References
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Additional Information
- Manuel Fernández-López
- Affiliation: Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
- MR Author ID: 685993
- Email: manufl@edu.xunta.es
- Eduardo García-Río
- Affiliation: Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
- MR Author ID: 291968
- ORCID: 0000-0003-1195-1664
- Email: eduardo.garcia.rio@usc.es
- Received by editor(s): October 6, 2011
- Published electronically: February 7, 2013
- Communicated by: Lei Ni
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 2145-2148
- MSC (2010): Primary 53C25, 53C20, 53C44
- DOI: https://doi.org/10.1090/S0002-9939-2013-11675-8
- MathSciNet review: 3034440