Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-18T04:07:14.842Z Has data issue: false hasContentIssue false

3 - Explicit constructions of Ricci solitons

Published online by Cambridge University Press:  05 November 2011

Paul Baird
Affiliation:
Département de Mathématiques, Université de Bretagne Occidentale
Roger Bielawski
Affiliation:
University of Leeds
Kevin Houston
Affiliation:
University of Leeds
Martin Speight
Affiliation:
University of Leeds
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] P., Baird, A class of three-dimensional Ricci solitons, Geometry and Topology 13 (2009), 979–1015.Google Scholar
[2] P., Baird and L., Danielo, Three-dimensional Ricci solitons which project to surfaces, J. reine angew. Math., 608 (2007), 65–91.Google Scholar
[3] P., Baird and J. C., Wood, Harmonic Morphisms between Riemannian Manifolds, London Math. Soc. Monograph (New Series), vol. 29, Oxford University Press, 2003.Google Scholar
[4] R. L., Bryant, Ricci flow solitons in dimension three with SO(3)-symmetries, preprint, Duke Univ., Jan 2005.Google Scholar
[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.Google Scholar
[6] B., Chow and D., Knopf, The Ricci flow: An Introduction, Mathematical Surveys and Monographs, Vol. 110, American Mathematical Society, Providence, RI, 2004.Google Scholar
[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.Google Scholar
[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.Google Scholar
[11] T., Ivey, New examples of complete Ricci solitons, Proc. Amer. Math. Soc. 122 (1994), 241–245.Google Scholar
[12] J., Lauret, Ricci soliton homogeneous nilmanifolds, Math. Ann. 319 (2001), 715–733.Google Scholar
[13] J., Lott, On the long-time behaviour of type-III Ricci flow solutions, Math. Annalen, 339, No. 3 (2007), 627–666.Google Scholar
[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.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×