Totally convex sets in complete Riemannian manifolds

DOI10.4310/jdg/1214436108zbMath0479.53032OpenAlexW1506123379MaRDI QIDQ1162004

Victor Bangert

Publication date: 1981

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214436108

zbMATH Keywords

complete Riemannian manifoldstotally convex setsboundary volumes

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Convex functions on Alexandrov surfaces ⋮ Convex Hull of Extreme Points in Flat Riemannian Manifolds ⋮ Convexity and the unique footpoint property in Riemannian geometry ⋮ Geodesics and totally convex sets on surfaces ⋮ Convex functions on complete noncompact manifolds: Topological structure ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ Locally Geodesically Quasiconvex Functions on Complete Riemannian Manifolds ⋮ Totally flat foliations and peakless functions ⋮ Manifolds with geodesic chords of constant length ⋮ Extending Whitney's extension theorem: nonlinear function spaces

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