Lagrangian mean curvature flow of Whitney spheres

Knut Smoczyk; Andreas Savas-Halilaj

doi:10.48550/arXiv.1802.06304

Lagrangian mean curvature flow of Whitney spheres

Knut Smoczyk
, Andreas Savas-Halilaj

University of Ioannina

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Pages (from-to)	1057–1084
Number of pages	28
Journal	Geometry and Topology
Volume	23
Issue number	2
E-pub ahead of print	8 Apr 2019
DOIs	https://doi.org/10.48550/arXiv.1802.06304 https://doi.org/10.2140/gt.2019.23.1057
Publication status	Published - 2019

ASJC Scopus subject areas

Geometry and Topology

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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

Abstract

ASJC Scopus subject areas

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