Asymptotic Lines on the Pseudo-Spherical Surfaces

DOI10.23671/VNC.2019.1.27656zbMath1463.53021MaRDI QIDQ4970077

A. V. Kostin

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj681

zbMATH Keywords

Minkowski spacepseudospherede Sitter planeasymptotic lineChebyshev netLobachevsky plane

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Some generalizations of the shadow problem in the Lobachevsky space ⋮ Asymptotic lines on pseudospheres and the angle of parallelism

Cites Work

• Geometric properties of surfaces with the same mean curvature in \(\mathbb{R}^3\) and \(\mathbb{L}^3\)
• \(C^ \infty\)-isometric imbeddings of the hyperbolic plane and of cylinders with hyperbolic metric in spherical spaces
• Rotational surfaces in \({\mathbb{L}^3}\) and solutions of the nonlinear sigma model
• The geometry of the sine-Gordon equation
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• Geometrical interpretation of the sinh-Gordon equation
• NEW EXAMPLES OF MAXIMAL SURFACES IN LORENTZ-MINKOWSKI SPACE
• Smarandache Theorem in Hyperbolic Geometry
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
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