4-manifold

Formal sciences
Mathematics
Topology
Manifolds

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Page 2 of 4

Algebraic Topology and Differential Geometry

Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Differentiating vector fields: Why do it?

Explores the importance of differentiating vector fields and the correct methodology to achieve it, emphasizing the significance of going beyond the first order.

Manifolds: Charts and Compatibility

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Truncated Conjugate Gradients for Trust-Region Subproblem

Explores truncated conjugate gradients for solving the trust-region subproblem in optimization on manifolds efficiently.

Pseudorandomness: Theory and Applications

Explores pseudorandomness theory, AI challenges, pseudo-random graphs, random walks, and matrix properties.

Retractions vector fields and tangent bundles: Tangent bundles

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

General Manifolds and Topology

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

Manifolds and Tangent Space

Introduces manifolds, charts, atlases, tangent space, tensors, and the metric in curved spaces.

Projection of Flows: Dual Basis

Explores flow projection on stable and unstable manifolds using dual basis and Gram-Schmidt, with practical error quantification.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.