Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Group Theory in PhysicsCovers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
