General Relativity - U01 ComputerLab Embeddings 2

Maps between manifolds: examples . Embedding of the 2d sphere into R3 . Embedding of the 2d torus into R3 . Embedding of the 2d cylinder into R3 . Embedding of the de Sitter4 space into R5 . Embedding of the anti-de Sitter4 space into R5 . Computation of induced metrics as pullbacks from Rn metrics . Use of Mathematica in the computations: - compute the matrix representation of the pullback operator - compute the components of the pulledback metric ------------------------------------------------------------ Supplementary material for the undergraduate course “General Relativity and Cosmology” offered at the Physics Department of the School of Applied Mathematical and Physical Sciences of the National Technical University of Athens (NTUA). Related page: http://physics.ntua.gr/konstant/GR/ Instructor: Konstantinos N. Anagnostopoulos (spring 2023), Associate Professor of Physics, NTUA http://physics.ntua.gr/konstant