On the Kneser-Poulsen conjecture in elliptic space

DOI10.1007/s00229-006-0050-6zbMath1109.53041OpenAlexW2027014096WikidataQ123194814 ScholiaQ123194814MaRDI QIDQ858594

Gábor Moussong, Balázs Csikós

Publication date: 11 January 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0050-6

zbMATH Keywords

elliptic spaceKneser-Poulsen conjecturevolume of balls

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

A characterization of spaces of constant curvature by minimum covering radius of triangles

Cites Work

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• The Kneser-Poulsen conjecture for spherical polytopes
• On the volume of the union of balls
• Pushing disks together -- The continuous-motion case
• On the perimeter of the intersection of congruent disks
• A Schläfli-type formula for polytopes with curved faces and its application to the Kneser-Poulsen conjecture
• Area of the union of disks
• Einige Bemerkungen über das Minkowskische Flächenmaß
• Lipschitzian Mappings and Total Mean Curvature of Polyhedral Surfaces. I
• Pushing disks apart - the Kneser-Poulsen conjecture in the plane
• On the volume of flowers in space forms

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