The Gromov-Hausdorff hyperspace of nonnegatively curved $2$-spheres

DOI10.1090/proc/13910zbMath1427.53044arXiv1705.01223OpenAlexW2962839083WikidataQ125906033 ScholiaQ125906033MaRDI QIDQ3132805

Igor Belegradek

Publication date: 30 January 2018

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

Full work available at URL: https://arxiv.org/abs/1705.01223

zbMATH Keywords

hyperspaceconvex bodynonnegative curvatureGromov-Hausdorffspace of metricsinfinite dimensional topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topology of infinite-dimensional manifolds (57N20)

Related Items (5)

Hyperbolic geometry of shapes of convex bodies ⋮ Hyperspaces of smooth convex bodies up to congruence ⋮ Moduli spaces of compact \(\mathrm{RCD}(0,N)\)-structures ⋮ The Gromov-Hausdorff hyperspace of a Euclidean space ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics

Cites Work

• Geometry III. Theory of surfaces. Transl. from the Russian by E. Primrose
• The Weyl problem with nonnegative Gauss curvature
• Strictly convex submanifolds and hypersurfaces of positive curvature.
• Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\)
• Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
• Convex Bodies The Brunn-MinkowskiTheory
• Isometric approximation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Gromov-Hausdorff hyperspace of nonnegatively curved $2$-spheres