Seminars & Colloquia Calendar

Download as iCal file

Geometric Analysis Seminar

Ricci flow and lower scalar curvature bounds of \(W^{2,2}\) metrics in four dimensions

Miles Simon (Institut fuer Analysis und Numerik (IAN) Universitaet Magdeburg)

Location:  Zoom
Date & time: Tuesday, 29 March 2022 at 2:50PM - 3:50PM

Abstract: In this talk we construct solutions to Ricci DeTurck flow in four dimensions on compact manifolds which are instantaneously smooth but whose initial values are (possibly) non-smooth Riemannian metrics whose components, in smooth coordinates, belong to \(W^{2,2}\) and are bounded from above and below. A Ricci flow related solution is constructed whose initial value is isometric in a weak sense to the initial value of the Ricci DeTurck solution. If the scalar curvature of such an initial metric is bounded from below by a constant k almost everywhere, then we show that the scalar curvature for later times is bounded from below by the same constant k.
(joint work with Tobias Lamm)

Zoom link: https://rutgers.zoom.us/j/97953490430?pwd=RmxtS0pnVEFmaEc5U2tlY3NDdW92Zz09
Meeting ID: 979 5349 0430
Password: 515087

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.