November 28, 2025Journal für die reine und angewandte Mathematik (Crelles Journal)

Complete minimal surfaces of finite topology in the doubled Schwarzschild 3-manifold

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Complete minimal surfaces are constructed within a finite topology framework.
The process involved a classical desingularization method to achieve construction.
Ratios of embedded surfaces were examined based on arbitrary genus within the manifold.
Results may enable further exploration of minimal surfaces in various geometrical contexts.

Implication

Analysis reveals complete minimal surfaces in a 3-manifold, suggesting new construction methods using desingularization.

Abstract

We construct complete embedded minimal surfaces of arbitrary genus in the doubled Schwarzschild 3-manifold. A classical desingularization method is used for the construction.

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Cite This Study

Choe et al. (2025) studied this question.

synapsesocial.com/papers/6928f113a65b730b9ea79eab https://doi.org/10.1515/crelle-2025-0086

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Implication

Analysis reveals complete minimal surfaces in a 3-manifold, suggesting new construction methods using desingularization.

Abstract

We construct complete embedded minimal surfaces of arbitrary genus in the doubled Schwarzschild 3-manifold. A classical desingularization method is used for the construction.

Complete minimal surfaces of finite topology in the doubled Schwarzschild 3-manifold

Key Points

Implication

Abstract

Discussion

Cite This Study

Complete minimal surfaces of finite topology in the doubled Schwarzschild 3-manifold

Key Points

Implication

Abstract

Discussion

Cite This Study

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