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arXiv · 2608.05344

Ruled Minimal Surfaces in the 3-dimensional Solvable Group

Tiago F. Ferreira
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Abstract

We study ruled minimal surfaces in a family of three-dimensional solvable Lie groups depending on a real parameter $p$ and endowed with left-invariant metrics. For $p\neq 0$, we classify all orthogonal ruled surfaces and construct new examples of minimal surfaces. For $p=0$, we parametrize all ruled surfaces and obtain additional examples of minimal surfaces.

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Tiago F. Ferreira. 2026-08-05. Ruled Minimal Surfaces in the 3-dimensional Solvable Group. https://arxiv.org/abs/2608.05344

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