2011/05/16 by Shanti Caillat-Gibert, Caillat-Gibert, Shanti
Arts and Humanities · Mathematics · #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Mathematics and Applications #Renaissance Literature and Culture #math.GN #math.GT
paper · pdf · doi:10.48550/arxiv.1105.3103
openalex publication_date 2011/05/16 · arxiv created 2011/05/19 · arxiv updated 2011/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Torus leaves play a crucial role in the theory of foliations. For example non-taut foliations admit a torus leaf (see the article of Goodman). In this paper, we study all the foliations near a torus leaf, and try to understand why sometimes it is taut, or non-taut (and Reebless). We focus on some crucial examples to understand non-taut and Reebless foliations; and foliations admitting a non-separating torus leaf. It relies on the study of turbulization and spiraling, with generalizations.