Lectures related to Frame bundle

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Introduces the first step in finding an orthogonal/orthonormal base in a vector space.

Introduces orthonormal bases in 3D space and their applications in geometry.

Discusses isometries and orthonormal bases in mathematics.

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.

Covers smooth maps, vector fields, and retractions on manifolds, emphasizing the importance of smoothly varying curves.

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.