This lecture introduces the concept of embedded submanifolds, focusing on the Stiefel manifold and defining functions. It covers tangent spaces, symplectic forms, and ranks of differential operators.
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
We develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemann