Lotay, JD;
(2013)
Uniqueness of Lagrangian self-expanders.
In:
Pure and Applied Differential Geometry PADGE 2012: In Memory of Franki Dillen (Berichte aus der Mathematik).
(pp. pp. 181-190).
Shaker Verlag: Herzogenrath, Germany.
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Abstract
In mean curvature flow an important class of solutions are the self-expanders, which move simply by dilations under the flow and provide models for smoothing of singular con- figurations. In K¨ahler–Einstein manifolds mean curvature flow preserves Lagrangian submanifolds,providing the notion of Lagrangian mean curvature flow. I will describe joint work with Neves [12] showing that Lagrangian self-expanders in Cn asymptotic to pairs of planes are locally unique if n > 2 and unique if n = 2.
| Type: | Proceedings paper |
|---|---|
| Title: | Uniqueness of Lagrangian self-expanders |
| Event: | Conference on Pure and Applied Differential Geometry, August 27 to August 30, 2012, KU Leuven, Belgium |
| Location: | KU Leuven, Leuven, Belgium |
| ISBN-13: | 978-3844023633 |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1542507 |
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