Smooth Dynamics: Bernoulli and K Properties

Related lectures (29)

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Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Explores the applications of the Bernoulli theorem in fluid dynamics.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

Explores integral curves on manifolds and the significance of the exponential map in Lie groups.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the abstract structure of measure-preserving systems and aims to understand their classification and ergodic decompositions.

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