A theorem of Archimedes about spheres and cylinders and two-point homogeneous spaces

DOI10.1017/S0004972700029075zbMath0712.53021OpenAlexW2023227026MaRDI QIDQ3196939

Mirjana Djoric, Lieven Vanhecke

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700029075

zbMATH Keywords

volumespheretwo-point homogeneous spacecircumscribing cylinder

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global submanifolds (53C40)

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Cites Work

• G-deformations of curves and volumes of tubes in Riemannian manifolds
• On disk-homogeneous symmetric spaces
• Riemannian geometry as determined by the volumes of small geodesic balls
• Ball-homogeneous and disk-homogeneous Riemannian manifolds
• On Isoperimetric Inequalities Related to a Problem of Moser
• The Volumes of Tubes about Curves in a Riemannian Manifold

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