Geometric flow equations

Schnürer, Oliver C.

Geometric flow equations

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2018

Publikationstyp

Beitrag zu einem Sammelband

Publikationsstatus

Published

Erschienen in

CORTÉS, Vicente, ed., Klaus KRÖNCKE, ed., Jan LOUIS, ed.. Geometric flows and the geometry of space-time. Cham: Birkhäuser, 2018, pp. 77-121. Tutorials, schools, and workshops in the mathematical sciences. ISBN 978-3-030-01125-3. Available under: doi: 10.1007/978-3-030-01126-0_2

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

mean curvature flow, geometric flow equation

Zitieren

ISO 690

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, 2018, pp. 77-121. Tutorials, schools, and workshops in the mathematical sciences. ISBN 978-3-030-01125-3. Available under: doi: 10.1007/978-3-030-01126-0_2

BibTex

@incollection{Schnurer2018Geome-47073,
  year={2018},
  doi={10.1007/978-3-030-01126-0_2},
  title={Geometric flow equations},
  isbn={978-3-030-01125-3},
  publisher={Birkhäuser},
  address={Cham},
  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.}
}

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