Retractions: second orderCovers second-order retractions in optimization on manifolds, focusing on smooth curves and their relation to the gradient and Hessian of a function.
Local FramesCovers the concept of local frames, their construction, and limitations.
Non-analytic Smooth FunctionsExplores non-analytic smooth functions, their properties, and applications in differential geometry and partitioning unity.
Gradient DescentExplores gradient descent methods for optimizing functions on manifolds, emphasizing small gradient guarantees and global convergence.
