University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Conformal geodesics cannot spiral

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

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

ℹī¸ Information

Conformal geodesics cannot spiral

Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

TWTW01 - Twistors in Geometry & Physics

Conformal geodesics are solution curves arising from a conformally invariant equation. These curves have found numerous applications in general relativity. In particular, they have been used to construct conformal Gauss coordinates, which can remain regular across conformal boundaries. In order for such a coordinate system not to break down, it is important that the underlying conformal geodesics do not “spiral” (i.e. enter and remain in every neighborhood of some point). It is a standard fact that this cannot happen for metric geodesics and it has been conjectured that the same is true for conformal geodesics. In this talk I will give a proof (joint with Maciej Dunajski and Paul Tod) that conformal geodesics in Riemannian signature cannot spiral.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Earthwatch Lecture Dept. of Engineering Trumpington Street, Inglis Building - Sir Arthur Marshall Rm LR11, Cambridge University Engineering Department

Other talks

Title to be confirmed Group Work Afternoon Break Ensemble inequivalence for systems with long-range interactions Haematology and Palliative Care Non-stationarity in structural dynamics, challenges and implications for modelling and structural health monitoring
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity