List questions from submanifold | MathQa

A formula for the projection onto the tangent plane $P= I-\vec n \cdot \vec n^T$

Published on 13 Jan 2025 - 0:36

Sufmanifold with prescribed first and second fundamental form

Published on 13 Jan 2025 - 0:30

Prove $g(t,u)$ is a regular surface when it may have singular points.

Published on 13 Jan 2025 - 0:33

Show that submanifolds are in fact manifolds.

Published on 13 Jan 2025 - 0:19

Show that the graph of a smooth map is a submanifold.

Published on 13 Jan 2025 - 0:25

Is any immersed manifold also embedded?

Published on 13 Jan 2025 - 0:13

Is the set where there is a unique distance minimizer to a submanifold open?

Published on 13 Jan 2025 - 0:37

Can we restrict the dimension of the domain to make the image lower dimensional?

Published on 13 Jan 2025 - 0:38

Every compact connected hypersurface with enough symmetry is a sphere

Published on 13 Jan 2025 - 0:33

Dimension of topological submanifold is at most that of the containing manifold

Published on 13 Jan 2025 - 0:38