Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above

DOI10.1007/s10711-005-9011-6zbMath1094.53073arXivmath/0511570OpenAlexW2064665897MaRDI QIDQ2494089

Richard L. Bishop, Stephanie B. Alexander

Publication date: 16 June 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511570

zbMATH Keywords

ruled surfaceinjectivity radiusextrinsic curvaturepositive reachGauss equation\(CAT(K)\) space\(\pi\)-totally-convexAlexandrov space of curvature bounded aboveradical uniqueness

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (13)

Warped products admitting a curvature bound ⋮ Stability and minimax optimality of tangential Delaunay complexes for manifold reconstruction ⋮ Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature ⋮ Collapsing manifolds with boundary ⋮ Recovering the homology of immersed manifolds ⋮ Weyl's law for singular Riemannian manifolds ⋮ Continuous pursuit curves on \(\mathrm{CAT}(K)\) spaces ⋮ On strictly convex subsets in negatively curved manifolds ⋮ EXPANSION CONSTANTS AND HYPERBOLIC EMBEDDINGS OF FINITE GRAPHS ⋮ Extrinsic curvature of semiconvex subspaces in Alexandrov geometry ⋮ Metric-minimizing surfaces revisited ⋮ Density estimation on an unknown submanifold ⋮ Efficient Weingarten map and curvature estimation on manifolds

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