An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space

DOI10.1134/S0037446606010149zbMath1215.52010arXiv1002.3884MaRDI QIDQ536638

Dmitriy Slutskiy

Publication date: 19 May 2011

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

Full work available at URL: https://arxiv.org/abs/1002.3884

zbMATH Keywords

volumehyperbolic spacetotal mean curvatureinfinitesimal flexinfinitesimally nonrigid polyhedronLobachevskij spaceSchläfli formula

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (1)

Infinitesimal bending influence on the volume change

Cites Work

• Unnamed Item
• Sabitov's conjecture that volume is stationary under infinitesimal bending of a surface
• An example of a flexible polyhedron with nonconstant volume in the spherical space
• Lipschitzian Mappings and Total Mean Curvature of Polyhedral Surfaces. I

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