Problem of shadow in the Lobachevskii space

DOI10.1007/s11253-019-01604-zzbMath1472.51013OpenAlexW4251085114WikidataQ127650104 ScholiaQ127650104MaRDI QIDQ2306422

A. V. Kostin

Publication date: 23 March 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01604-z

zbMATH Keywords

convex hullLobachevskii planeproblem of shadow

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (2)

Tammes problem and contact number for spheres in spaces of constant curvature ⋮ Some generalizations of the shadow problem in the Lobachevsky space

Cites Work

• Generalized convex envelopes of sets and the problem of shadow
• Isometric immersion in \(E^ 3\) of a convex domain of the Lobachevskij plane containing two horocycles
• Problem of shadow (complex case)
• Generalizations of the shadow problem
• Generalized convex sets and the problem of shadow
• Smarandache Theorem in Hyperbolic Geometry
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