Isothermic constrained Willmore tori in 3‑space

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

Autoren

  • Lynn Heller
  • Sebastian Heller
  • Cheikh Birahim Ndiaye

Organisationseinheiten

Externe Organisationen

  • Howard University
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Details

OriginalspracheEnglisch
Seiten (von - bis)231–251
Seitenumfang21
FachzeitschriftAnn. Global Anal. Geom.
Jahrgang60
Ausgabenummer2
Frühes Online-Datum20 Mai 2021
PublikationsstatusVeröffentlicht - Sept. 2021

Abstract

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below \(8\pi\). In particular, every constrained Willmore torus with Willmore energy below \(8\pi\) and non-rectangular conformal class is non-degenerated.

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Isothermic constrained Willmore tori in 3‑space. / Heller, Lynn; Heller, Sebastian; Ndiaye, Cheikh Birahim.
in: Ann. Global Anal. Geom., Jahrgang 60, Nr. 2, 09.2021, S. 231–251.

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

Heller L, Heller S, Ndiaye CB. Isothermic constrained Willmore tori in 3‑space. Ann. Global Anal. Geom. 2021 Sep;60(2):231–251. Epub 2021 Mai 20. doi: 10.48550/arXiv.1903.11823, 10.1007/s10455-021-09778-1
Heller, Lynn ; Heller, Sebastian ; Ndiaye, Cheikh Birahim. / Isothermic constrained Willmore tori in 3‑space. in: Ann. Global Anal. Geom. 2021 ; Jahrgang 60, Nr. 2. S. 231–251.
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