University of Cambridge > Talks.cam > Partial Differential Equations seminar > How to produce a Ricci Flow via Cheeger-Gromoll exhaustion

  Browse A-Z

Log in

Cambridge users (raven)details Other usersdetails No account?details

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

How to produce a Ricci Flow via Cheeger-Gromoll exhaustion

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Jonathan Ben-Artzi.

We prove short time existence for the Ricci flow on open manifolds of nonnegative complex sectional curvature. We do not require upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger-Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with nonnegative complex sectional curvature which subconverge to a solution of the Ricci flow on the open manifold. Furthermore, we find an optimal volume growth condition which guarantees long time existence, and we give an analysis of the long time behaviour of the Ricci flow. Finally, we construct an explicit example of an immortal nonnegatively curved solution of the Ricci flow with unbounded curvature for all time.

This talk is part of the Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Cambridge and Anglian Materials Society meetings Museum of Archaeology & Anthropology Discrete Analysis Seminar

Other talks

Measuring interacting electrons in low dimensional systems: spin-charge separation and 'replicas & tbd St Catharine’s Political Economy Seminar - ‘Bank Credit Rating Changes, Capital Structure Adjustments and Lending’ by Claudia Girardone Lua: designing a language to be embeddable Making Refuge: Scripture and Refugee Relief Bringing Personality Theory Back to Life: On Persons-in-Context, Idiographic Strategies, and Lazarus 'Politics in Uncertain Times: What will the world look like in 2050 and how do you know? “Modulating Tregs in Cancer and Autoimmunity” Validation & testing of novel therapeutic targets to treat osteosarcoma Understanding mechanisms and targets of malaria immunity to advance vaccine development A new proposal for the mechanism of protein translocation Surrogate models in Bayesian Inverse Problems
 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity