Convex polytopes, dihedral angles, mean curvature and scalar curvature
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Publication:6624181
DOI10.1007/S00454-024-00657-7MaRDI QIDQ6624181
Publication date: 25 October 2024
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polyhedral manifolds (52B70)
Cites Work
- Metric inequalities with scalar curvature
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\)
- On the structure of manifolds with positive scalar curvature
- Spin and scalar curvature in the presence of a fundamental group. I
- The classification of simply connected manifolds of positive scalar curvature
- Scalar curvature and hammocks
- Sharp estimates and the Dirac operator
- On the current knowledge of the size and shape of the Earth
- Scalar curvature estimates for compact symmetric spaces.
- Sewing Riemannian manifolds with positive scalar curvature
- Many projectively unique polytopes
- Dirac and Plateau billiards in domains with corners
- Plateau-Stein manifolds
- A convex 3-complex not simplicially isomorphic to a strictly convex complex
- Index theory for scalar curvature on manifolds with boundary
- Regular triangulations and Steiner points
- Four Lectures on Scalar Curvature
- Scalar curvature rigidity of convex polytopes
- Positive scalar curvature and minimal hypersurface singularities
- The dihedral rigidity conjecture for \(n\)-prisms
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