Euclidean Isometries: Properties and Applications

Related lectures (30)

Page 3 of 3

Explores isometries in R^2 and R^3, focusing on symmetries, rotations, and linear compositions, with a glimpse into the Banach-Tarski paradox.

Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.

Explores the normalization of the product of 4 plane reflections in space.

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Covers the concept of Quantum Field Theory in Ads and CFT correlators.

Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.