Geometric flow equations

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SCHNÜRER, Oliver C., 2018. Geometric flow equations. In: CORTÉS, Vicente, ed., Klaus KRÖNCKE, ed., Jan LOUIS, ed.. Geometric flows and the geometry of space-time. Cham:Birkhäuser, pp. 77-121. ISBN 978-3-030-01125-3. Available under: doi: 10.1007/978-3-030-01126-0_2

@incollection{Schnurer2018Geome-47073, title={Geometric flow equations}, year={2018}, doi={10.1007/978-3-030-01126-0_2}, isbn={978-3-030-01125-3}, address={Cham}, publisher={Birkhäuser}, series={Tutorials, schools, and workshops in the mathematical sciences}, booktitle={Geometric flows and the geometry of space-time}, pages={77--121}, editor={Cortés, Vicente and Kröncke, Klaus and Louis, Jan}, author={Schnürer, Oliver C.} }

2018 2019-09-28T09:17:59Z eng Geometric flow equations Schnürer, Oliver C. In this minicourse, we study hypersurfaces that solve geometric evolution equations. More precisely, we investigate hypersurfaces that evolve with a normal velocity depending on a curvature function like the mean curvature or Gauß curvature. In three lectures, we address<br /><br />- hypersurfaces, principal curvatures and evolution equations for geometric quantities like the metric and the second fundamental form.<br />- the convergence of convex hypersurfaces to round points. Here, we will also show some computer algebra calculations.<br />- the evolution of graphical hypersurfaces under mean curvature flow. 2019-09-28T09:17:59Z Schnürer, Oliver C.

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