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Polar varieties and bipolar surfaces of minimal surfaces in the \(n\)-sphere

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Publication:2076529
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DOI10.1007/s10455-021-09793-2zbMath1487.53081OpenAlexW3206577079MaRDI QIDQ2076529

Katsuhiro Moriya

Publication date: 22 February 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-021-09793-2


zbMATH Keywords

minimal surfaceharmonic mapClifford algebraconformal map


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)




Cites Work

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  • Sequences of minimal surfaces in \(S^{2n+1}\)
  • All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
  • Transforms for minimal surfaces in the 5-sphere
  • Quaternionic analysis on Riemann surfaces and differential geometry
  • Minimal tori in the five-dimensional sphere in \(\mathbb{C}^3\)
  • Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.
  • Minimal immersions of surfaces in Euclidean spheres
  • Complete minimal surfaces in \(S^ 3\)
  • A Report on Harmonic Maps
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