Question

If $M$ is a submanifold of $\mathbb R^3$ and the normal space $N$ on $M$ at $p$ is one-dimensional, can we choose an unique "outer" normal from $N$?

score 525 · Answer 1 · 2015-11-09 14:08:27

525

Views

If $M$ is a submanifold of $\mathbb R^3$ and the normal space $N$ on $M$ at $p$ is one-dimensional, can we choose an unique "outer" normal from $N$?

Published on 09 Nov 2015 - 14:08

score 88 · Answer 2 · 2015-11-09 15:49:30

88

Views

Submersions and transversality in terms of orthogonality and factorization systems?

Published on 09 Nov 2015 - 15:49

score 60 · Answer 3 · 2026-04-15 05:14:11

60

Views

Can we represent the interior of a polygon as the graph of a continuously differentiable function?

Published on 15 Apr 2026 - 5:14

score 53 · Answer 4 · 2026-04-15 02:38:28

53

Views

Is it possible to represent (up to a $λ^3$-null set) a 2-dimensional submanifold of $R^3$ as the graph of a $C^1$-function $f:U⊆R^2\to R$?

Published on 15 Apr 2026 - 2:38

score 487 · Answer 5 · 2026-04-15 02:04:30

487

Views

Construction of Grassmann manifolds

Published on 15 Apr 2026 - 2:04

score 102 · Answer 6 · 2026-04-10 23:28:49

102

Views

Tangent Spaces & Definition of Differentiation

Published on 10 Apr 2026 - 23:28

score 164 · Answer 7 · 2026-04-12 15:40:36

164

Views

Definition of symmetric product in Milnor's paper

Published on 12 Apr 2026 - 15:40

score 1.8k · Answer 8 · 2026-04-11 10:07:52

1.8k

Views

The composition of a smooth map with a linear isomorphism is smooth

Published on 11 Apr 2026 - 10:07

score 2.7k · Answer 9 · 2026-03-27 05:00:25

2.7k

Views

Topological Boundary vs Manifold Boundary

Published on 27 Mar 2026 - 5:00

score 1.1k · Answer 10 · 2026-03-30 23:09:37

1.1k

Views

Visualization of SU(3)

Published on 30 Mar 2026 - 23:09

score 157 · Answer 11 · 2026-04-29 13:27:20

157

Views

Can someone help me understand the Euclidean metric?

Published on 29 Apr 2026 - 13:27

score 129 · Answer 12 · 2026-04-13 02:14:15

129

Views

Example of fibre bundle is locally product but not globally

Published on 13 Apr 2026 - 2:14

score 66 · Answer 13 · 2026-04-29 13:27:21

66

Views

A beginner's question of Riemannian Geometry.

Published on 29 Apr 2026 - 13:27

score 249 · Answer 14 · 2026-04-11 06:51:25

249

Views

Non-existence of embedded incompressible surfaces

Published on 11 Apr 2026 - 6:51

score 287 · Answer 15 · 2026-04-29 13:29:38

287

Views

Can we consider compact sets of Riemannian manifolds as ones of closed Rimanninan manifolds?

Published on 29 Apr 2026 - 13:29

List Question

If $M$ is a submanifold of $\mathbb R^3$ and the normal space $N$ on $M$ at $p$ is one-dimensional, can we choose an unique "outer" normal from $N$?

Submersions and transversality in terms of orthogonality and factorization systems?

Can we represent the interior of a polygon as the graph of a continuously differentiable function?

Is it possible to represent (up to a $λ^3$-null set) a 2-dimensional submanifold of $R^3$ as the graph of a $C^1$-function $f:U⊆R^2\to R$?

Construction of Grassmann manifolds

Tangent Spaces & Definition of Differentiation

Definition of symmetric product in Milnor's paper

The composition of a smooth map with a linear isomorphism is smooth

Topological Boundary vs Manifold Boundary

Visualization of SU(3)

Can someone help me understand the Euclidean metric?

Example of fibre bundle is locally product but not globally

A beginner's question of Riemannian Geometry.

Non-existence of embedded incompressible surfaces

Can we consider compact sets of Riemannian manifolds as ones of closed Rimanninan manifolds?

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