Evolutes of meridians and asymptotics on pseudospheres

DOI10.1007/s10958-022-05933-6zbMath1493.51013OpenAlexW4282983359MaRDI QIDQ2155150

A. V. Kostin

Publication date: 15 July 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05933-6

zbMATH Keywords

pseudosphereevolutede Sitter planeasymptotic lineLobachevsky plane

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Maximal surfaces with conelike singularities
• Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces
• Geometrical interpretation of the sinh-Gordon equation
• MAXIMAL SURFACES WITH SIMPLE ENDS

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