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5 results for “Enneper-type”

Ribaucour partial tubes and hypersurfaces of Enneper typemath.DG

The paper classifies hypersurfaces with special curvature properties in various spaces.

problem Characterizing hypersurfaces with specific curvature properties.

method Introducing Ribaucour partial tubes and using them to derive applications.

result Classification of hypersurfaces of Enneper type in

\mathbb{R}^{n+1}

Hypersurfaces Ribaucour partial tubes Enneper type Curvature Spherical foliation

2021-05-28abs ↗pdf ↗

Harmonic Enneper Immersion in

\mathbb{R}^3

math.DG

Method constructs harmonic immersions in R^3 using Enneper-type representation.

problem Constructing harmonic immersions in R^3.

method Enneper-type representation approach.

result Any harmonic immersion in R^3 can be obtained using this approach.

harmonic immersion Enneper representation R^3 rotational immersions coaxial circles

2026-03-20abs ↗pdf ↗

Higher genus Angel surfacesmath.DG

Proves existence of minimal surfaces of arbitrary genus with two ends.

problem Proves existence of complete minimal surfaces of arbitrary genus with specific properties.

method Extends orthodisk method with partial symmetry to introduce controlled symmetry.

result Proves existence of Angel surfaces of arbitrary genus.

minimal surfaces arbitrary genus complete surfaces two ends Enneper-type

2025-09-04abs ↗pdf ↗

An example of a minimal surface of genus one with two catenoid ends and one Enneper endmath.DG

In this paper we construct an example of a complete immersed minimal surface in $\mathbb{R}^3$ of genus one with two embedded catenoid-type ends, one Enneper-type end and total Gauss curvature $-16π.$ The proof of the existence of this example, was obtained using the Weierstrass representation, the theory of elliptic f…

2019-12-31abs ↗pdf ↗

Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski spacemath.DG

In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space $L^{3}$ , using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in $L^{3}$ constructed via the Enneper representation formul…

2017-03-20abs ↗pdf ↗