List questions from manifolds

Published on 25 Mar 2026 - 23:24

100

Views

Equivalence of two definitions for submanifolds

Published on 08 Jun 2018 - 7:49

54

Views

Calculate area of a non-compact submanifold of dimension 2

Published on 08 Jun 2018 - 8:26

434

Views

Every linear subspace of the smooth manifold $\mathbb R^n$ is a submanifold

Published on 08 Jun 2018 - 8:57

70

Views

Proof-verification: A level set not being a regular submanifold

Published on 08 Jun 2018 - 10:24

130

Views

Which specific smooth structure are we using in general relativity?

Published on 25 Mar 2026 - 1:32

1.5k

Views

Manifolds: Equivalence of second countability vs countable atlas

Published on 08 Jun 2018 - 12:07

27

Views

coordinate change on two hypersurfaces

Published on 25 Mar 2026 - 13:04

173

Views

Derivative rule for a tangent vector space in a Riemannian manifold

Published on 09 Jun 2018 - 14:01

1.5k

Views

Why is $\mathbb R$ \ ${0}$ open in R

Published on 26 Mar 2026 - 19:05

602

Views

Help to correct answer: Product of orientable manifolds is orientable

Published on 25 Mar 2026 - 9:26

34

Views

A typo in specifying a chart on a set

Published on 11 Jun 2018 - 12:36

472

Views

On charts of Grassmanian manifolds

Published on 25 Mar 2026 - 3:03

37

Views

Deformation gradient of 2D manifold immersed in a 3D space

Published on 25 Mar 2026 - 9:37

69

Views

Help for a clearer solution: $k$-form $\omega$ is smooth if only if it is smooth as a map $\omega \colon M\rightarrow \Lambda ^k(M)$

Published on 26 Mar 2026 - 0:53

List Question

Show that $F^*\omega$ is an orientation form of $M$.

Equivalence of two definitions for submanifolds

Calculate area of a non-compact submanifold of dimension 2

Every linear subspace of the smooth manifold $\mathbb R^n$ is a submanifold

Proof-verification: A level set not being a regular submanifold

Which specific smooth structure are we using in general relativity?

Manifolds: Equivalence of second countability vs countable atlas

coordinate change on two hypersurfaces

Derivative rule for a tangent vector space in a Riemannian manifold

Why is $\mathbb R$ \ ${0}$ open in R

Help to correct answer: Product of orientable manifolds is orientable

A typo in specifying a chart on a set

On charts of Grassmanian manifolds

Deformation gradient of 2D manifold immersed in a 3D space

Help for a clearer solution: $k$-form $\omega$ is smooth if only if it is smooth as a map $\omega \colon M\rightarrow \Lambda ^k(M)$

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