Inequalities of trihedrals on a hyperbolic plane of positive curvature

DOI10.1007/S13366-017-0339-5zbMath1385.51015OpenAlexW2604294508MaRDI QIDQ1702742

Lyudmila N. Romakina

Publication date: 28 February 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0339-5

zbMATH Keywords

hyperbolic plane of positive curvatureextremal property of segmentsinequality of a trihedraltrihedral

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Absolute planes in metric geometry (51F05) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

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• Analogs of a formula of Lobachevsky for angle of parallelism on the hyperbolic plane of positive curvature
• The area of generalized hyperbolic triangles
• Metrics on hyperbolic convex polyhedra
• Hyperbolic plane geometry revisited
• Fan triangulations of a hyperbolic plane of positive curvature
• On the area of a trihedral on a hyperbolic plane of positive curvature
• RIGONOMETRY IN EXTENDED HYPERBOLIC SPACE AND EXTENDED DE SITTER SPACE
• Simple partitions of a hyperbolic plane of positive curvature
• Isoptic curves of conic sections in constant curvature geometries
• Carpets on simple 4-contours on the hyperbolic plane of positive curvature
• A Geometrical Background for De Sitter's World
• Duality between hyperbolic and de Sitter geometry

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