Local and global convexity in complete Riemannian manifolds

DOI10.2140/pjm.1978.76.283zbMath0384.52003OpenAlexW2072304002WikidataQ115230824 ScholiaQ115230824MaRDI QIDQ1248957

Stephanie B. Alexander

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2140/pjm.1978.76.283

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

Asymmetric expansion preserves hyperbolic convexity ⋮ Convex and Starshaped Sets in Manifolds Without Conjugate Points ⋮ Steepest descent curves of convex functions on surfaces of constant curvature ⋮ On the regularity of domains satisfying a uniform hour-glass condition and a sharp version of the Hopf-Oleinik boundary point principle ⋮ Local estimate on convexity radius and decay of injectivity radius in a Riemannian manifold ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ Horosphere slab separation theorems in manifolds without conjugate points

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