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  • Print publication year: 2011
  • Online publication date: November 2011

3 - Explicit constructions of Ricci solitons

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Variational Problems in Differential Geometry
  • Online ISBN: 9780511863219
  • Book DOI: https://doi.org/10.1017/CBO9780511863219
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References
[1] P., Baird, A class of three-dimensional Ricci solitons, Geometry and Topology 13 (2009), 979–1015.
[2] P., Baird and L., Danielo, Three-dimensional Ricci solitons which project to surfaces, J. reine angew. Math., 608 (2007), 65–91.
[3] P., Baird and J. C., Wood, Harmonic Morphisms between Riemannian Manifolds, London Math. Soc. Monograph (New Series), vol. 29, Oxford University Press, 2003.
[4] R. L., Bryant, Ricci flow solitons in dimension three with SO(3)-symmetries, preprint, Duke Univ., Jan 2005.
[5] B., Chow, S-C., Chu, D., Glickenstein, C., Guenther, J., Isenberg, T., Ivey, D., Knopf, P., Lu, F., Luo and L., Ni, The Ricci flow: Techniques and Applications, Part 1: Geometric aspects, AMS Mathematical Surveys and monographs, 135, 2007.
[6] B., Chow and D., Knopf, The Ricci flow: An Introduction, Mathematical Surveys and Monographs, Vol. 110, American Mathematical Society, Providence, RI, 2004.
[7] C., Guenther, J., Isenberg and D., Knopf, Stability of the Ricci flow at Ricci-flat metrics, Comm. Anal. Geom. 10 (2002), no. 4, 741–777.
[8] C., Guenther, J., Isenberg and D., Knopf, Stability of Ricci nilsolitons, preprint (2006).
[9] R., Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math. 117 (1995), 545–572.
[11] T., Ivey, New examples of complete Ricci solitons, Proc. Amer. Math. Soc. 122 (1994), 241–245.
[12] J., Lauret, Ricci soliton homogeneous nilmanifolds, Math. Ann. 319 (2001), 715–733.
[13] J., Lott, On the long-time behaviour of type-III Ricci flow solutions, Math. Annalen, 339, No. 3 (2007), 627–666.
[14] G., Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv:math.DG/0211159.
[15] N., Sesum, Linear and dynamical stability of Ricci flat metrics, Duke. Math. J., 133 (2006), 1–26.
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