Differential geometry MOC Real embedded manifold In these notes, a real embedded manifold typically refers to a submanifold of real coördinate space. diff The Whitney embedding theorem provides a sense in which every real differentiable manifold may be regarded as a real submanifold. A subset is an -dimensional real submanifold iff has charts that are diffeomorphisms as subsets of real coördinate space, i.e. for every there exists a neighbourhood of in and an open set such that there exists a map with a right-inverse . Properties Total derivative Tangent space tidy | en | sembr
