Surface Classification Applications

Related lectures (29)

Page 1 of 3

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

Explains the parametric equations of surfaces of revolution generated by curves in space.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores surfaces with variable curvature, discussing their construction and properties.

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.