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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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.

Originalsprache	Englisch
Seiten (von - bis)	1057–1084
Seitenumfang	28
Fachzeitschrift	Geometry and Topology
Jahrgang	23
Ausgabenummer	2
Elektronisch veröffentlicht (E-Pub)	8 Apr. 2019
DOIs	https://doi.org/10.48550/arXiv.1802.06304 https://doi.org/10.2140/gt.2019.23.1057
Publikationsstatus	Veröffentlicht - 2019

ASJC Scopus Sachgebiete

Geometrie und Topologie

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