Spines and topology of thin Riemannian manifolds

DOI10.1090/S0002-9947-03-03163-5zbMath1035.53047OpenAlexW1977044533WikidataQ115289112 ScholiaQ115289112MaRDI QIDQ4425452

Stephanie B. Alexander, Richard L. Bishop

Publication date: 10 September 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03163-5

zbMATH Keywords

stratification3-manifoldscurvature boundsinradiusRiemannian manifolds with boundary collapse

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

How Riemannian Manifolds Converge ⋮ Complexity of PL manifolds ⋮ A Bound on the Number of Endpoints of the Cut Locus

Cites Work

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• Complexity theory of three-dimensional manifolds
• Ein Verfahren zur Aufspaltung einer 3-Mannigfaltigkeit in irreduzible 3- Mannigfaltigkeiten
• Thin Riemannian manifolds with boundary
• Spines and homology of thin Riemannian manifolds with boundary
• The cut locus and conjugate locus of a riemannian manifold
• Acyclic fake surfaces which are spines of 3-manifolds
• A Unique Decomposition Theorem for 3-Manifolds
• Three-Manifolds Having Complexity At Most 9

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