Riemannian geometry

Related lectures (32)

Page 3 of 4

Covers connections on manifolds, symmetric connections, Lie brackets, and compatibility with the metric in Riemannian geometry.

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Introduces geodesic convexity on Riemannian manifolds and explores its properties.

Explores asymptotic gridshells, challenges in designing complex curved surfaces.

Explores geodesic convexity, focusing on properties of convex functions on manifolds.

Introduces analytic manifolds, Berkovich spaces, and multiplicative semi-norms in K-algebras.

Explores linear convergence with the Polyak-Łojasiewicz condition on a Riemannian manifold.

Explores matrix-based approaches for computing the Newton step on a Riemannian manifold.

Covers course recap, shape optimization, asymptotic grid shells, and differential geometry concepts.