Contact geometry

Related lectures (29)

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Explores smooth functions on manifolds, emphasizing continuity and atlas topologies.

Explores smooth manifolds through diffeomorphisms and embedded submanifolds in a linear space.

Introduces smooth manifolds, emphasizing the importance of submanifolds of linear spaces.

Covers the theory of periodic orbits of Hamiltonian systems and the Conley-Zehnder index.

Covers the growth of positive contactomorphisms in Legendrian spheres and symplectic forms.

Explores the transition from embedded to general manifolds, upgrading foundational concepts and discussing mathematical reasons for both approaches.

Explores smooth manifolds through defining functions and submanifolds, highlighting the importance of smoothness.

Explores tangent spaces as free movement directions on submanifolds, offering a geometrically satisfying linearization notion.

Explores computing gradients on Riemannian manifolds through extensions and retractions, emphasizing orthogonal projectors and smooth extensions.

Covers the Grassmann manifold and retractions on submanifolds.