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Lagrangian mean curvature
flow of Whitney spheres
Andreas Savas-Halilaj and Knut Smoczyk |
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Geometry & Topology 23 (2019) 1057–1084
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Abstract |
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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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Keywords
Lagrangian mean curvature flow, equivariant Lagrangian
submanifolds, type-II singularities
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Mathematical Subject Classification 2010
Primary: 53C21, 53C42, 53C44
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References |
Publication
Received: 4 April 2018
Accepted: 13 July 2018
Published: 8 April 2019
Proposed: Tobias H Colding
Seconded: Gang Tian, Bruce Kleiner
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Authors |
| Andreas Savas-Halilaj | |
| Department of Mathematics University of Ioannina Ioannina Greece |
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| Knut Smoczyk | |
| Institute of Differential
Geometry Leibniz University Hannover Hannover Germany |
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