Lagrangian mean curvature flow of Whitney spheres

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Original languageEnglish
Pages (from-to)1057–1084
Number of pages28
JournalGeometry and Topology
Volume23
Issue number2
Early online date8 Apr 2019
Publication statusPublished - 2019

Abstract

It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that rescales to the product of a grim reaper with a flat Lagrangian subspace. In particular this result applies to the Whitney spheres.

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Lagrangian mean curvature flow of Whitney spheres. / Smoczyk, Knut; Savas-Halilaj, Andreas.
In: Geometry and Topology, Vol. 23, No. 2, 2019, p. 1057–1084.

Research output: Contribution to journalArticleResearchpeer review

Smoczyk K, Savas-Halilaj A. Lagrangian mean curvature flow of Whitney spheres. Geometry and Topology. 2019;23(2):1057–1084. Epub 2019 Apr 8. doi: https://doi.org/10.48550/arXiv.1802.06304, 10.2140/gt.2019.23.1057
Smoczyk, Knut ; Savas-Halilaj, Andreas. / Lagrangian mean curvature flow of Whitney spheres. In: Geometry and Topology. 2019 ; Vol. 23, No. 2. pp. 1057–1084.
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