Bounded distance geodesic foliations in Riemannian planes

DOI10.1515/crelle-2023-0023zbMath1530.53039arXiv2012.09871OpenAlexW3115597204MaRDI QIDQ6042651

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Publication date: 3 May 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09871

zbMATH Keywords

visibilitygeodesic line foliations

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Rigidity results (53C24) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Cites Work

• Area growth and rigidity of surfaces without conjugate points
• Rigidity of surfaces with no conjugate points
• Variétés (non separees) à une dimension et structures feuilletees du plan
• The ideal boundaries of complete open surfaces
• The integral of the scalar curvature of complete manifolds without conjugate points
• Riemannian rigidity of the parallel postulate in total curvature
• A theorem of E. Hopf
• Visibility manifolds
• The Flat Strip Theorem Fails for Surfaces with No Conjugate Points
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Closed Surfaces Without Conjugate Points
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