List questions from differential-geometry

Published on 25 Mar 2026 - 12:54

64

Views

Maurer Cartan form commute

Published on 10 Apr 2026 - 21:47

62

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Closed Subgroups of Lie Groups are closed Lie Subgroups?

Published on 12 Apr 2026 - 11:09

998

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Basis vectors and Basis Covectors

Published on 11 Apr 2026 - 0:28

80

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Transversal curves and change of direction of vector field along them.

Published on 13 Apr 2026 - 14:40

79

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Preimage is $2$-dimensional torus?

Published on 08 Oct 2018 - 12:24

535

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Question on the notation $ds^2=dx^2+dy^2$ : what does it really mean?

Published on 08 Oct 2018 - 15:23

77

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Topological Manifold covered by Compact Sets

Published on 12 Apr 2026 - 18:45

84

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open submanifold of symplectic manifold by considering tangent spaces

Published on 09 Apr 2026 - 3:02

304

Views

$\det^{-1}(0)$ is a submanifold of $M_2(\mathbb R) \setminus \{0\}$. Is this also a submanifold of the whole space $M_2(\mathbb R)$?

Published on 28 Mar 2026 - 6:00

77

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Lie brackets in Eculidean spaces

Published on 11 Apr 2026 - 1:33

232

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A proof of showing some flow is global

Published on 10 Apr 2026 - 11:58

116

Views

What's the standard notation for the differential of $f:M\rightarrow N$?

Published on 31 Mar 2026 - 4:17

365

Views

why it is called "extension of partial converse 2" GP1.4.4?

Published on 26 Mar 2026 - 6:34

36

Views

Do Identical dimensions and inclusion imply equivalence for smooth manifolds?

Published on 13 Apr 2026 - 8:49

List Question

k-th exterior power bundle $\Lambda^k(M) = \sqcup_{p\in M}\Lambda^k(\tau(M)_p)$ is a manifold

Maurer Cartan form commute

Closed Subgroups of Lie Groups are closed Lie Subgroups?

Basis vectors and Basis Covectors

Transversal curves and change of direction of vector field along them.

Preimage is $2$-dimensional torus?

Question on the notation $ds^2=dx^2+dy^2$ : what does it really mean?

Topological Manifold covered by Compact Sets

open submanifold of symplectic manifold by considering tangent spaces

$\det^{-1}(0)$ is a submanifold of $M_2(\mathbb R) \setminus \{0\}$. Is this also a submanifold of the whole space $M_2(\mathbb R)$?

Lie brackets in Eculidean spaces

A proof of showing some flow is global

What's the standard notation for the differential of $f:M\rightarrow N$?

why it is called "extension of partial converse 2" GP1.4.4?

Do Identical dimensions and inclusion imply equivalence for smooth manifolds?

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