Complete flat surfaces with two isolated singularities in hyperbolic 3-space
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Publication:961057
DOI10.1016/j.jmaa.2009.12.020zbMath1190.53055arXiv0905.2371OpenAlexW2055703563WikidataQ125891654 ScholiaQ125891654MaRDI QIDQ961057
Publication date: 29 March 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2371
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Embeddings in differential topology (57R40) Immersions in differential topology (57R42)
Related Items (10)
Ribaucour surfaces of harmonic type ⋮ Classes of Weingarten Surfaces in S^2xR ⋮ Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ Flat fronts in hyperbolic 3-space with prescribed singularities ⋮ Surfaces of rotation with constant extrinsic curvature in a conformally flat 3-space ⋮ On the generalized Weyl problem for flat metrics in the hyperbolic 3-space ⋮ Ribaucour transformations for flat surfaces in the hyperbolic 3-space ⋮ On an Enneper-Weierstrass-type representation of constant Gaussian curvature surfaces in 3-dimensional hyperbolic space ⋮ Hyperbolic Plateau problems
Cites Work
- On subharmonic functions and differential geometry in the large
- Flat fronts in hyperbolic 3-space
- Flat surfaces in the hyperbolic 3-space
- Flat surfaces in hyperbolic space as normal surfaces to a congruence of geodesics
- Singularities of flat fronts in hyperbolic space
- Embedded isolated singularities of flat surfaces in hyperbolic 3-space
- Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends
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