Geodesic

Related lectures (32)

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Explores geodesically strongly convex functions and their relation to the Polyak-Łojasiewicz condition.

Covers geodesic curves parameterized at constant speed to minimize distances between points.

Explains acceleration along curves and geodesics on manifolds, generalizing straight lines to spheres.

Explores distance, geodesics, and complete manifolds, emphasizing the existence of minimizing geodesics and the concept of metric completeness.

Covers the unit tangent bundle of hyperbolic spaces and geodesic flows.

Explores gravitational theory, light bending, geodesic motion, and electromagnetism in gravitational fields through practical problem-solving.

Introduces optimization on manifolds, covering classical and modern techniques in the field.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Explores Ruelle resonances for geodesic flows on non-compact manifolds, emphasizing the role of smoothness and eigenvalues in the dynamics.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.