Bird's-eye view and aims

Related lectures (32)

Page 2 of 4

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

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

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

Explores symmetries, Riemannian connection, vector fields, and Lie bracket in geometry.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Covers Riemannian metrics, gradients, vector fields, and inner products on manifolds.

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

Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.

Explores non-analytic smooth functions, their properties, and applications in differential geometry and partitioning unity.

Covers Hessians, symmetry, and examples related to vector fields, functions, and manifolds.