Volume pinching theorems for CAT(1) spaces

DOI10.1353/ajm.2022.0005OpenAlexW4205248209WikidataQ113747156 ScholiaQ113747156MaRDI QIDQ5024869

Koichi Nagano

Publication date: 27 January 2022

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13056

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Algebraic topology of manifolds (57N65) Algebraic topology on manifolds and differential topology (57R19)

Related Items (4)

Noncritical maps on geodesically complete spaces with curvature bounded above ⋮ Extremal subsets in geodesically complete spaces with curvature bounded above ⋮ Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces ⋮ Packing and doubling in metric spaces with curvature bounded above

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A finiteness theorem for metric spaces
• A topological sphere theorem for arbitrary-dimensional manifolds
• The local structure of length spaces with curvature bounded above
• \(\text{CAT}(0)\) 4-manifolds possessing a single tame point are Euclidean
• A note on pinching sphere theorem.
• Geodesically complete spaces with an upper curvature bound
• Cocompact CAT(0) spaces are almost geodesically complete
• Geometric finiteness theorems via controlled topology
• On the volume of manifolds all of whose geodesics are closed
• A volume convergence theorem for Alexandrov spaces with curvature bounded above
• A sphere theorem for 2-dimensional CAT(1)-spaces.
• Diameter rigidity of spherical polyhedra
• Building-like spaces
• Lectures on geodesics in Riemannian geometry
• Rigidity of spherical buildings and joins
• On the local structure and the homology of CAT(κ) spaces and euclidean buildings
• Generalized Riemannian spaces
• Shrinking Certain Sliced Decompositions of E n + 1
• Defining the Boundary of a Homology Manifold
• On distance spectral radius of trees with fixed maximum degree
• A Sphere Theorem for Reverse Volume Pinching on Even-Dimensional Manifolds

This page was built for publication: Volume pinching theorems for CAT(1) spaces