Surface Classification

Related lectures (29)

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Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores the classification of surfaces based on polygonal presentations and the identification of sides and vertices.

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

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

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

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

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

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

Explores line defects in real surfaces and their influence on surface energy.

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