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Geometric Flow Equations

  • Oliver C. Schnürer
Chapter
Part of the Tutorials, Schools, and Workshops in the Mathematical Sciences book series (TSWMS)

Abstract

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
  • hypersurfaces, principal curvatures and evolution equations for geometric quantities like the metric and the second fundamental form.

  • the convergence of convex hypersurfaces to round points. Here, we will also show some computer algebra calculations.

  • the evolution of graphical hypersurfaces under mean curvature flow.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Fachbereich Mathematik und StatistikUniversität KonstanzKonstanzGermany

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