514 citations
- Chemnitz University of TechnologyDE2 papers
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- Freie Universität BerlinDE2 papers
- Lund UniversitySE2 papers
- Max-Born-Institute for Nonlinear Optics and Short Pulse SpectroscopyDE2 papers
- University of Illinois Urbana-ChampaignUS2 papers
- Weierstrass Institute for Applied Analysis and StochasticsDE2 papers
- Zuse Institute BerlinDE2 papers
- A. Alikhanyan National LaboratoryAM1 paper
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Showing 2002 · math.DGShow all
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math.DG2002
Parallel surfaces in affine 4-space
C. Scharlach, L. Vrancken
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in 4-space which are degenerate and have vanishing cubic form (i.e.…
math.DG2002★ 8 cited
Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions
Alexander I. Bobenko, Tatyana V. Pavlyukevich, Boris A. Springborn
We present a global representation for surfaces in 3-dimensional hyperbolic space with constant mean curvature 1 (CMC-1 surfaces) in terms of holomorphic spinors. This is a modific…