Some results on the convex hull of finitely many convex sets

DOI10.1090/S0002-9939-98-04155-0zbMath0902.53030OpenAlexW1575721428MaRDI QIDQ4383154

Albert Borbe'ly

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04155-0

zbMATH Keywords

Hadamard manifoldideal boundarypinched curvaturevolume of the convex hull

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

A Survey of Complex Hyperbolic Kleinian Groups ⋮ Shortest paths and convex hulls in 2D complexes with non-positive curvature

Cites Work

• The Dirichlet problem at infinity for manifolds of negative curvature
• The nonsolvability of the Dirichlet problem on negatively curved manifolds
• Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature
• Some results on the geometry of convex hulls in manifolds of pinched negative curvature
• Geometrical finiteness with variable negative curvature
• Visibility manifolds
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• A general comparison theorem with applications to volume estimates for submanifolds
• Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds
• A Note on the Dirichlet Problem at Infinity for Manifolds of Negative Curvature
• Unnamed Item

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