Almost continuous extension for taut foliations

DOI10.4310/MRL.2001.V8.N5.A5zbMATH Open1004.53022arXivmath/0008113OpenAlexW2964027983MaRDI QIDQ1598397

Danny Calegari

Publication date: 16 February 2003

Published in: Mathematical Research Letters (Search for Journal in Brave)

Abstract: A taut foliation of a hyperbolic 3-manifold has the continuous extension property for leaves in almost every direction; that is, for each leaf of the universal cover of the foliation and almost every geodesic ray in the leaf, the limit of the ray in the universal cover of the 3-manifold is a well-defined point in the ideal boundary.

Full work available at URL: https://arxiv.org/abs/math/0008113

zbMATH Keywords

hyperbolic 3-manifoldstaut foliationsuniversal cover of a manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Number of least area planes in Gromov hyperbolic $3$-spaces

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