Lectures related to Prime manifold

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Dynamics of Steady Euler Flows: New Results

Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Retractions, vector fields and tangent bundles: Retractions and vector fields

Introduces retractions and vector fields on manifolds, providing examples and discussing smoothness and extension properties.

Vector Transformation and Tense

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.