Journals / Turkish Journal of Mathematics / 1998 / Cilt: 22 - Sayı: 2

Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus

Pages
207–222
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.

📌 3 Key Takeaways

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Objective & Hypothesis:The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.
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Key Findings & Data:The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.
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Conclusion & Impact:The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (1998) · 207-222. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.

Özet

The aim of this paper is to construct a specific codimension-1 foliation of \( D2 \times S1 \) with one Reeb component, and to show that this foliation locally minimizes the volume among foliations with the boundary torus as a leaf.

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Cite This Article

KOCAYUSUFOĞLU, İ., JOHNSON, D. L. (2022). Locally Volume-Minimizing Codimension-One Foliation of the Solid Torus. Turkish Journal of Mathematics, Cilt: 22 - Sayı: 2, 207–222. https://ajindex.com/articles/608996

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