The Schläfli formula for polyhedra and piecewise smooth hypersurfaces.
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Publication:1422026
DOI10.1016/S0926-2245(03)00054-8zbMath1065.52015WikidataQ115337993 ScholiaQ115337993MaRDI QIDQ1422026
Publication date: 3 February 2004
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
(n)-dimensional polytopes (52B11) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Polyhedral manifolds (52B70)
Related Items (3)
Algebra versus analysis in the theory of flexible polyhedra ⋮ Continuous deformations of polyhedra that do not alter the dihedral angles ⋮ A Schläfli-type formula for polytopes with curved faces and its application to the Kneser-Poulsen conjecture
Cites Work
- Convex polyhedra in Lorentzian space-forms
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- Surface deformation. I
- A characterization of compact convex polyhedra in hyperbolic 3-space
- The volume as a metric invariant of polyhedra
- Euclidean structures on simplicial surfaces and hyperbolic volume
- The Bellows conjecture
- Flexible polyhedra in Minkowski 3-space
- A Schläfli differential formula for simplices in semi-Riemannian hyperquadrics, Gauss-Bonnet formulas for simplices in the de Sitter sphere and the dual volume of a hyperbolic simplex
- A Schläfli-type formula for convex cores of hyperbolic \(3\)-manifolds
- Divergence theorems in semi-Riemannian geometry
- Lipschitzian Mappings and Total Mean Curvature of Polyhedral Surfaces. I
- The Schläfli formula in Einstein manifolds with boundary
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