Lipschitz-Killing curvatures of angular partially ordered sets

DOI10.1016/0001-8708(89)90031-5zbMath0702.52008OpenAlexW2058796460MaRDI QIDQ915133

Lothar Budach

Publication date: 1989

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(89)90031-5

zbMATH Keywords

cell complexesLipschitz-Killing curvaturescombinatorial proofangular partially ordered setinterior and exterior angles of convex polytopes

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) General topology of complexes (57Q05) Combinatorial aspects of matroids and geometric lattices (05B35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

A characterization of the angle defect and the Euler characteristic in dimension 2 ⋮ Polyhedral Gauss-Bonnet theorems and valuations ⋮ Critical points and the angle defect ⋮ The Gram-Sommerville and Gauss-Bonnet theorems and combinatorial geometric measures for noncompact polyhedra ⋮ Higher transgressions of the Pfaffian

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• Critical points and curvature for embedded polyhedra
• Non-linear angle-sum relations for polyhedral cones and polytopes
• An Elementary Proof of Gram's Theorem for Convex Polytopes
• Angle Sums of Convex Polytopes.
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• An Elementary Analogue to the Gauss-Bonnet Theorem

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