Sabitov's conjecture that volume is stationary under infinitesimal bending of a surface

DOI10.1007/BF00971257zbMath0715.53006WikidataQ123130627 ScholiaQ123130627MaRDI QIDQ752487

Victor Alexandrov

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

volumepolyhedrasurfaces of revolutioninfinitesimal bending

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space ⋮ Computing the volume enclosed by a periodic surface and its variation to model a follower pressure

Cites Work

• Nonrigid analytic surfaces of revolution
• A counterexample to the rigidity conjecture for polyhedra
• Zur Verbiegung von Flächen im Großen

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