COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Dynamical stability and instability of Ricci-flat metrics

## Dynamical stability and instability of Ricci-flat metricsAdd to your list(s) Download to your calendar using vCal - Reto Mueller (Imperial College)
- Monday 04 February 2013, 15:00-16:00
- CMS, MR11.
If you have a question about this talk, please contact Neshan Wickramasekera. Let M be a compact manifold. A Ricci-flat metric on M is a Riemannian metric with vanishing Ricci curvature. Ricci-flat metrics are fairly hard to construct, and their properties are of great interest. They are the critical points of the Einstein-Hilbert functional, the fixed points of Hamilton’s Ricci flow and the critical points of Perelman’s lambda-functional. In this talk, we are concerned with the stability properties of Ricci-flat metrics under Ricci flow. We will prove the following stability and instability results. If a Ricci-flat metric is a local maximizer of lambda, then every Ricci flow starting close to it exists for all times and converges (modulo diffeomorphisms) to a nearby Ricci-flat metric. If a Ricci-flat metric is not a local maximizer of lambda, then there exists a nontrivial ancient Ricci flow emerging from it. This is joint work with Robert Haslhofer. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR11
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- Geometric Analysis and Partial Differential Equations seminar
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsThe Forensic Use of Bioinformation British Antarctic Survey's Natural Complexity: Data and Theory in Dialogue Imaging and Mathematics## Other talksTumour natural history, structure and nomenclature (lecture/demonstration) Alumni Festival 2014: Africa's Digital Communications Revolution Becoming bilingual in transport & health to put research into practice Resonance curves of finite-amplitude gravity waves in shallow-water limit Reliability Under pressure: Environmental stressors alter relationships between physiology and behaviour in fishes |