The boundary conjecture for leaf spaces

DOI10.5802/aif.3341zbMath1462.53041arXiv1804.01656OpenAlexW3037767135WikidataQ123289550 ScholiaQ123289550MaRDI QIDQ2213337

Adam Moreno, Karsten Grove, Peter V Petersen

Publication date: 30 November 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01656

zbMATH Keywords

Alexandrov geometryleaf spacessingular Riemannian foliationslens charaterization

Mathematics Subject Classification ID

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Foliations (differential geometric aspects) (53C12) Synthetic differential geometry (51K10)

Related Items (4)

Rigidity of Alexandrov Spaces ⋮ Volume estimates for Alexandrov spaces with convex boundaries ⋮ Alexandrov spaces with maximal radius ⋮ The structure of submetries

Cites Work

• A globalization for non-complete but geodesic spaces
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• An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds
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• Rigidity theorems for compact manifolds with boundary and positive Ricci curvature
• Clifford algebras and new singular Riemannian foliations in spheres
• Riemannian Geometry
• A.D. Alexandrov spaces with curvature bounded below
• A slice theorem for singular Riemannian foliations, with applications
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