Question

Tangent Space in $S^{n-1}$ and Orthogonal Stiefel Manifolds

score 234 · Answer 1 · 2026-03-27 14:22:26

234

Views

Tangent Space in $S^{n-1}$ and Orthogonal Stiefel Manifolds

Published on 27 Mar 2026 - 14:22

score 57 · Answer 2 · 2019-10-13 14:02:32

57

Views

Contravariance in general vector space

Published on 13 Oct 2019 - 14:02

score 330 · Answer 3 · 2019-10-13 16:58:35

330

Views

Compatible atlas induced the same topology.

Published on 13 Oct 2019 - 16:58

score 196 · Answer 4 · 2026-04-04 13:11:01

(leeSM 2-4) show inclusion map $i: \overline{B}^n \hookrightarrow R^n$ is smooth, where $\overline{B}^n$ regarded as smooth manifold w/ boundary

score 1k · Answer 5 · 2026-02-23 06:34:30

1k

Views

Properties of Tensor field pullbacks

Published on 23 Feb 2026 - 6:34

score 194 · Answer 6 · 2026-03-25 20:36:12

194

Views

Proof of Proposition 5.18 in John Lee's Introduction to Topological Manifolds

Published on 25 Mar 2026 - 20:36

score 23 · Answer 7 · 2026-03-26 08:07:28

23

Views

Space of $k$-vectors of lower-dimensional vector space is $0$.

Published on 26 Mar 2026 - 8:07

score 94 · Answer 8 · 2026-03-26 17:32:28

94

Views

Representation of Tangent vectors of Real Projective Space

Published on 26 Mar 2026 - 17:32

score 790 · Answer 9 · 2026-04-03 12:35:54

790

Views

What's an example where the inclusion map $\iota: A \to B$ is smooth and a topological embedding but not an immersion?

Published on 03 Apr 2026 - 12:35

score 327 · Answer 10 · 2026-03-28 09:45:47

327

Views

Manifold structure such that a bijection of sets becomes a diffeomorphism of manifolds? Group structure for group isomorphism?

Published on 28 Mar 2026 - 9:45

score 726 · Answer 11 · 2019-10-18 12:10:34

726

Views

Proof of dimension of tangent space to manifold

Published on 18 Oct 2019 - 12:10

score 217 · Answer 12 · 2019-10-18 13:41:53

217

Views

the tangent bundle of an $m$-dimensional manifold is $2m$

Published on 18 Oct 2019 - 13:41

score 278 · Answer 13 · 2019-10-19 10:44:35

278

Views

Usage of open sets in the definition of manifold

Published on 19 Oct 2019 - 10:44

score 64 · Answer 14 · 2026-03-26 01:17:27

64

Views

Does there exist an inclusion map making a given boundary point into an interior point?

Published on 26 Mar 2026 - 1:17

score 205 · Answer 15 · 2019-10-19 21:34:20

205

Views

Every connected topological manifold has a homeomorphism taking $p_i$ to $q_i$ for any $i=1,\dots, k$.

Published on 19 Oct 2019 - 21:34

List Question

Tangent Space in $S^{n-1}$ and Orthogonal Stiefel Manifolds

Contravariance in general vector space

Compatible atlas induced the same topology.

(leeSM 2-4) show inclusion map $i: \overline{B}^n \hookrightarrow R^n$ is smooth, where $\overline{B}^n$ regarded as smooth manifold w/ boundary

Properties of Tensor field pullbacks

Proof of Proposition 5.18 in John Lee's Introduction to Topological Manifolds

Space of $k$-vectors of lower-dimensional vector space is $0$.

Representation of Tangent vectors of Real Projective Space

What's an example where the inclusion map $\iota: A \to B$ is smooth and a topological embedding but not an immersion?

Manifold structure such that a bijection of sets becomes a diffeomorphism of manifolds? Group structure for group isomorphism?

Proof of dimension of tangent space to manifold

the tangent bundle of an $m$-dimensional manifold is $2m$

Usage of open sets in the definition of manifold

Does there exist an inclusion map making a given boundary point into an interior point?

Every connected topological manifold has a homeomorphism taking $p_i$ to $q_i$ for any $i=1,\dots, k$.

Trending Questions

Popular # Hahtags

Popular Questions