List questions from submanifold | MathQA

Is $\{X\in\mathbb{R}^{n\times p}|X^TX=I, XX^T\circ I=\dfrac{p}{n}I\}$ a submanifold of $\mathbb{R}^{n\times p}$?

Published on 25 Mar 2026 - 13:58

Confusion regarding normal vector fields

Published on 29 Dec 2022 - 21:37

Lee Introduction to Smooth Manifolds Problem 8-15: Extension Lemma for Vector Fields on Submanifolds

Published on 12 Jan 2023 - 1:11

Extending smooth functions on submanifolds with boundary

Published on 12 Jan 2023 - 4:03

Looking for a topic on differentiable manifolds

Published on 13 Jan 2023 - 20:10

Cohomology of submanifolds

Published on 28 Mar 2026 - 7:00

Implicit function theorem for higher derivatives

Published on 30 Mar 2026 - 7:20

For which values of $r$ is $M := \{(x,y,z) \in \mathbb{R}^3 \mid x^2+y^2 = 1, (x-1)^2+y^2+z^2 = r^2 \}$ a submanifold?

Published on 17 Jan 2023 - 22:20