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arXiv · 2308.05499

Singular Miminal Ruled Surfaces

Muhittin Evren Aydin·Ayla Erdur Kara
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Abstract

In this paper we study surfaces with minimal potential energy under gravitational forces, called singular minimal surfaces. We prove that a singular minimal ruled surface in a Euclidean $3-$space is cylindrical, in particular as an $\alpha-$catenary cylinder by a result of L\'{o}pez [Ann. Glob. Anal. Geom. 53(4) (2018), 521-541]. This result is also extended in Lorentz-Minkowski $3-$space.

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Muhittin Evren Aydin, Ayla Erdur Kara. 2023-08-10. Singular Miminal Ruled Surfaces. https://arxiv.org/abs/2308.05499

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