Stability properties of 2-lobed Delaunay tori in the 3-sphere

Lynn Heller; Sebastian Heller; Cheikh Birahim Ndiaye

doi:10.48550/arXiv.1903.11830

Stability properties of 2-lobed Delaunay tori in the 3-sphere

Lynn Heller^*, Sebastian Heller, Cheikh Birahim Ndiaye

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Differentialgeometrie

Howard University

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Abstract

We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.

Originalsprache	Englisch
Aufsatznummer	101805
Fachzeitschrift	Differential Geom. Appl.
Jahrgang	79
Frühes Online-Datum	8 Sept. 2021
DOIs	https://doi.org/10.48550/arXiv.1903.11830 https://doi.org/10.1016/j.difgeo.2021.101805
Publikationsstatus	Veröffentlicht - Dez. 2021

ASJC Scopus Sachgebiete

Analysis
Geometrie und Topologie
Theoretische Informatik und Mathematik

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title = "Stability properties of 2-lobed Delaunay tori in the 3-sphere",

abstract = "We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere. ",

keywords = "math.DG",

author = "Lynn Heller and Sebastian Heller and Ndiaye, {Cheikh Birahim}",

note = "Funding Information: Acknowledgments. The first author is supported by the DFG within the SPP 2026 Geometry at Infinity, and the second author is supported by RTG 1670 Mathematics inspired by string theory and quantum field theory funded by the DFG. The third author was partially supported by NSF grant DMS?2000164.",

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AU - Ndiaye, Cheikh Birahim

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AB - We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.

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