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arXiv · 1710.05959

Characterization of striped surfaces

Sergiy Maksymenko·Eugene Polulyakh
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Abstract

Let $Z$ be a non-compact two-dimensional manifold and $Δ$ be a one-dimensional foliation of $Z$ such that $\partial Z$ consists of leaves of $Δ$ and each leaf of $Δ$ is a non-compact closed subset of $Z$. We obtain a characterization of a subclass of such foliated surfaces $(Z,Δ)$ glued from open strips $\mathbb{R}\times(0,1)$ with boundary leaves along some of their boundary intervals.

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Sergiy Maksymenko, Eugene Polulyakh. 2017-10-18. Characterization of striped surfaces. https://doi.org/10.15673/tmgc.v10i2.651

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