Details
| Original language | English |
|---|---|
| Pages (from-to) | 231–251 |
| Number of pages | 21 |
| Journal | Ann. Global Anal. Geom. |
| Volume | 60 |
| Issue number | 2 |
| Early online date | 20 May 2021 |
| Publication status | Published - Sept 2021 |
Abstract
Keywords
- math.DG, Spectral curve, Quaternionic Plücker estimate, Constrained Willmore tori, Isothermic surface
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Geometry and Topology
- Social Sciences(all)
- Political Science and International Relations
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In: Ann. Global Anal. Geom., Vol. 60, No. 2, 09.2021, p. 231–251.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isothermic constrained Willmore tori in 3‑space
AU - Heller, Lynn
AU - Heller, Sebastian
AU - Ndiaye, Cheikh Birahim
N1 - Funding Information: The first author is supported by the DFG within the SPP 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 second author would also like to thank the International Centre for Theoretical Sciences (ICTS), Bangalore, for hospitality during the ICTS program on Analytic and Algebraic Geometry , where parts of the computations have been performed.
PY - 2021/9
Y1 - 2021/9
N2 - 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.
AB - 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.
KW - math.DG
KW - Spectral curve
KW - Quaternionic Plücker estimate
KW - Constrained Willmore tori
KW - Isothermic surface
UR - http://www.scopus.com/inward/record.url?scp=85106023413&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1903.11823
DO - 10.48550/arXiv.1903.11823
M3 - Article
VL - 60
SP - 231
EP - 251
JO - Ann. Global Anal. Geom.
JF - Ann. Global Anal. Geom.
SN - 1572-9060
IS - 2
ER -