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A quick survey of foliations on 4-manifolds

2003/02/26 by Alexandru Scorpan, Scorpan, Alexandru
Computer Science · Mathematics · #57N13 (Secondary) #57R30 (Primary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.DG #math.GT #msc:57N13 #msc:57R30

paper · pdf · doi:10.48550/arxiv.math/0302323

23 pages, 10 LaTeX figures. Infinitesimal revision

openalex publication_date 2003/02/26 · arxiv created 2003/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a few general results on foliations of 4-manifolds by surfaces: existence, tautness, relations to minimal genus of embedded surfaces; as well as some open problems. We hope to stimulate interest in this area.

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