Introduction to mean curvature flow
- [1] Albert-Einstein-Institut Max-Planck-Institut für Gravitationsphysik Am Mühlenberg 1 14476 Golm (Germany)
Séminaire de théorie spectrale et géométrie (2008-2009)
- Volume: 27, page 1-9
- ISSN: 1624-5458
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Abstract
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topAlessandroni, Roberta. "Introduction to mean curvature flow." Séminaire de théorie spectrale et géométrie 27 (2008-2009): 1-9. <http://eudml.org/doc/116457>.
@article{Alessandroni2008-2009,
abstract = {This is a short overview on the most classical results on mean curvature flow as a flow of smooth hypersurfaces. First of all we define the mean curvature flow as a quasilinear parabolic equation and give some easy examples of evolution. Then we consider the M.C.F. on convex surfaces and sketch the proof of the convergence to a round point. Some interesting results on the M.C.F. for entire graphs are also mentioned. In particular when we consider the case of dimension one, we can compute the equation for the translating graph solution to the curve shortening flow and solve it directly.},
affiliation = {Albert-Einstein-Institut Max-Planck-Institut für Gravitationsphysik Am Mühlenberg 1 14476 Golm (Germany)},
author = {Alessandroni, Roberta},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {mean curvature flow; curve shortening flow; mean curvature flow for graphs},
language = {eng},
pages = {1-9},
publisher = {Institut Fourier},
title = {Introduction to mean curvature flow},
url = {http://eudml.org/doc/116457},
volume = {27},
year = {2008-2009},
}
TY - JOUR
AU - Alessandroni, Roberta
TI - Introduction to mean curvature flow
JO - Séminaire de théorie spectrale et géométrie
PY - 2008-2009
PB - Institut Fourier
VL - 27
SP - 1
EP - 9
AB - This is a short overview on the most classical results on mean curvature flow as a flow of smooth hypersurfaces. First of all we define the mean curvature flow as a quasilinear parabolic equation and give some easy examples of evolution. Then we consider the M.C.F. on convex surfaces and sketch the proof of the convergence to a round point. Some interesting results on the M.C.F. for entire graphs are also mentioned. In particular when we consider the case of dimension one, we can compute the equation for the translating graph solution to the curve shortening flow and solve it directly.
LA - eng
KW - mean curvature flow; curve shortening flow; mean curvature flow for graphs
UR - http://eudml.org/doc/116457
ER -
References
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