Conformal Maps and Hyperbolic Geometry

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Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.

Explores stereographic projection and metric tensors on hyperbolic planes, emphasizing isometry and conforming models.

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

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores stereographic projection and sphere parameterization, emphasizing regularity and line independence.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.