On angles and pseudo-angles in Minkowskian planes

DOI10.3390/MATH6040052zbMath1394.51011OpenAlexW2795795066MaRDI QIDQ1649129

Leopold Verstraelen

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6040052

zbMATH Keywords

trigonometryMinkowski anglesMinkowskian pseudo-anglestwo-dimensional Minkowski spacetime

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Special relativity (83A05) Classical or axiomatic geometry and physics (51P05)

Related Items (5)

Constant angle surfaces in the Lorentzian warped product manifold $I \times_{f} \mathbb E^2_1$ ⋮ Affine transformations of hyperbolic number plane ⋮ On geometric interpretations of split quaternions ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\) ⋮ Slant curves in the Lorentzian warped product manifold \(-I \times_f{\mathbb{E}}^2\)

Cites Work

• Constant angle surfaces in Minkowski space
• Rotational surfaces in \({\mathbb{L}^3}\) and solutions of the nonlinear sigma model
• The Gauss-Bonnet theorem for 2-dimensional spacetimes
• A relativistic version of the Gauss-Bonnet formula
• Bäcklund transformation on surfaces with \(K=-1\) in \(\mathbb{R}^{2,1}\)
• Helix submanifolds of Euclidean spaces
• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• Special Relativity with Acceleration
• New classical string solutions in AdS ₃ through null scrolls
• SLANT HELICES IN MINKOWSKI SPACE E₁³
• Bäcklund transformations for surfaces in Minkowski space
• Trigonometry in Lorentzian Geometry
• Null generalized helices in Lorentz Minkowski spaces
• An Introduction to Certain Topics on Lorentzian Geometry
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• From golden spirals to constant slope surfaces
• Differential Geometry of Warped Product Manifolds and Submanifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On angles and pseudo-angles in Minkowskian planes