Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space
Mazlum Gür
Abstract
In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3- space are obtained by various equations. In addition, new equivalents of well-known formulas (O. Bonnet, Euler, Liouville) are found in this space. Finally, the examples of these surfaces are given.
Topics & Concepts
Minkowski spaceMathematicsLorentz transformationLorentz spaceHyperboloid modelPure mathematicsSpace (punctuation)GeometryMathematical analysisMathematical physicsClassical mechanicsPhysicsComputer scienceOperating systemGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchCosmology and Gravitation Theories