Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324-2012

Characterization of striped surfaces

DOI: 10.15673/tmgc.v10i2.651 (ukr)

  • Сергей Иванович Максименко
  • Евгений Александрович Полулях

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

Keywords:

  • Шарування
  • смугаста поверхня.