On Pappus-type theorems on the volume in space forms

DOI10.1023/A:1006765422116zbMath1009.53027OpenAlexW85030219MaRDI QIDQ1586049

Alfred Gray, Vicente Miquel

Publication date: 27 April 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006765422116

zbMATH Keywords

volumerotationFrenet frameintegral formulatubearea of a surface\(n\)-dimensional space-formPappus formulas

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global differential geometry (53C99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (5)

Pappus type theorems for motions along a submanifold ⋮ Volume of domains in symmetric spaces ⋮ Generalizations of the theorems of Pappus-Guldin in the Heisenberg groups ⋮ Pappus type theorems for hypersurfaces in a space form. ⋮ Invariance of the Area and Volume of Cycloid Surfaces and Trochoid Surfaces

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