Lecture
Tangent spaces to submanifolds
Description
This lecture covers the concept of tangent spaces to submanifolds in optimization on manifolds. It explains two perspectives on linearizing submanifolds in Euclidean spaces, focusing on local defining functions and curves. The lecture introduces tangent vectors, tangent spaces, and their properties, such as dimensionality and linearity. It also includes proofs and examples to illustrate the theoretical concepts.
Official source
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