Homogeneous Spaces

Related lectures (32)

Page 3 of 4

Covers the preservation of isometry by rotations and symmetries.

Explores totally discontinuous group actions on sets and their mathematical implications.

Covers symmetry operations in materials science, including rotations and helical axes.

Explores the analysis of motion in solid mechanics, covering velocity, acceleration, and kinematics of solid bodies.

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores the deformation of straight beams, calculating deflections and rotations under different load cases.

Explores the behavior of a particle in a central potential and its invariance under rotations.

Explores the concept of orbit spaces and group actions in topological spaces, including translations and multiplications.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.