Tight bounds on angle sums of nonobtuse simplices

DOI10.1016/j.amc.2015.02.035zbMath1410.51026OpenAlexW2034992663MaRDI QIDQ669707

Apo Cihangir, Michal Křížek, Jan H. Brandts

Publication date: 15 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.035

zbMATH Keywords

spherical geometrysimplexnonobtuse simplexangle sumspolar simplexspherically convex function

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area and volume in real or complex geometry (51M25)

Related Items (1)

Tight bounds for the dihedral angle sums of a pyramid.

Cites Work

• Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices
• The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem
• Local nonobtuse tetrahedral refinements of a cube.
• Local nonobtuse tetrahedral refinements around an edge
• Distance Sums on a Sphere and Angle Sums in a Simplex
• On qualitative angle properties of simplexes
• On Nonobtuse Simplicial Partitions
• The Sums of the Dihedral and Trihedral Angles in a Tetrahedron

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