MAT 000 - Lorentzian Geometry

Course Objectives

Non-degenerated inner product spaces,Time-like vectors and casuality, Local theory of time-like and space-like curves, Curves in Lorentz-Minkowski plane, Frenet equations, curvature and torsion, Curves in de Sitter and anti-de Sitter spaces, Light-like curves, Surfaces in 3-dimensional Minkowski space, Space-like and time-like surfaces, Non-diagonalizable shape operator and principal curvatures, Ruled Surfaces and null-scrolls, Isoparametric surfaces, Rotational surfaces, Maximal surfaces

Course Description

Non-degenerated inner product spaces,Time-like vectors and casuality, Local theory of time-like and space-like curves, Curves in Lorentz-Minkowski plane, Frenet equations, curvature and torsion, Curves in de Sitter and anti-de Sitter spaces, Light-like curves, Surfaces in 3-dimensional Minkowski space, Space-like and time-like surfaces, Non-diagonalizable shape operator and principal curvatures, Ruled Surfaces and null-scrolls, Isoparametric surfaces, Rotational surfaces, Maximal surfaces