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Scalar Curvature Behavior of Homogeneous Ricci Flows

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Abstract

We prove that the scalar curvature of a homogeneous Ricci flow solution blows up at a forward or backward finite-time singularity.

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Acknowledgments

I would like to thank my Ph.D. advisor Jorge Lauret for his encouragement and support, and for his many helpful comments and suggestions. This research was partially supported by Grants from CONICET (Argentina) and SeCyT (Universidad Nacional de Córdoba).

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Authors and Affiliations

  1. FaMAF and CIEM, Universidad Nacional de Córdoba, Córdoba, Argentina

    Ramiro A. Lafuente

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  1. Ramiro A. Lafuente
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Correspondence to Ramiro A. Lafuente.

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Communicated by Bennett Chow.

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Lafuente, R.A. Scalar Curvature Behavior of Homogeneous Ricci Flows. J Geom Anal 25, 2313–2322 (2015). https://doi.org/10.1007/s12220-014-9514-1

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  • DOI: https://doi.org/10.1007/s12220-014-9514-1

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