Willmore surfaces
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Publication:1821368
DOI10.1007/BF03025897zbMath0616.53049OpenAlexW3189216788MaRDI QIDQ1821368
Ulrich Pinkall, Ivan C. Sterling
Publication date: 1987
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03025897
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05)
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Cites Work
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- A duality theorem for Willmore surfaces
- On the conformal types of algebraic surfaces of euclidean space
- Hopf tori in \(S^ 3\)
- Counterexample to a conjecture of H. Hopf
- New minimal surfaces in S 3
- Geometrical class and degree for surfaces in three-space
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- Complete minimal surfaces in \(S^ 3\)
- Embeddings of open Riemann surfaces
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- Constant mean curvature tori in terms of elliptic functions.
- Conformal geometry and complete minimal surfaces
