Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Ferreira, Tiago F.
Institution: Universidade Estadual de Campinas (UNICAMP)
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7201871620
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