List questions from manifolds

Published on 12 Apr 2026 - 0:14

290

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coordinate curves (differential geometry)

Published on 10 Apr 2026 - 18:56

59

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Is there a case such that $S$ is a manifold on its own right but not a submanifold?

Published on 11 Apr 2026 - 9:33

461

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Atlas for $S^2 \to \mathbb C$

Published on 25 Feb 2017 - 1:25

68

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Compact manifold without boundary is boundary of another manifold

Published on 10 Apr 2026 - 22:04

77

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I don't understand the definition of exterior derivative of this book

Published on 25 Feb 2017 - 6:18

1.3k

Views

Show that the projection $p:S^n\to \Bbb RP^n$ is a local diffeomorphism

Published on 25 Feb 2017 - 8:34

99

Views

How do we see the differential of a manifold locally?

Published on 11 Apr 2026 - 23:41

39

Views

Cross sections/projections of matrix groups

Published on 01 Apr 2026 - 4:35

756

Views

1 is a regular value of $\det:GL(n,\mathbb{R})\rightarrow\mathbb{R}$

Published on 27 Feb 2017 - 0:42

6.9k

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Definition of Maximal atlas

Published on 27 Feb 2017 - 5:11

188

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Clarification on the rank and the derivative of a map $f:GL(n,\mathbb{R})\rightarrow\mathbb{R}$

Published on 27 Feb 2017 - 10:46

163

Views

Implication of $\partial \overline{\partial} f = 0$ on compact complex manifold

Published on 02 Apr 2026 - 16:54

828

Views

Degree of a non-surjective proper smooth map

Published on 11 Apr 2026 - 5:59

182

Views

Help with showing $\int_{\mathbb{C}P^1} \omega_{FS} = \pi$

Published on 31 Mar 2026 - 3:28

List Question

Methods to find charts of manifolds

coordinate curves (differential geometry)

Is there a case such that $S$ is a manifold on its own right but not a submanifold?

Atlas for $S^2 \to \mathbb C$

Compact manifold without boundary is boundary of another manifold

I don't understand the definition of exterior derivative of this book

Show that the projection $p:S^n\to \Bbb RP^n$ is a local diffeomorphism

How do we see the differential of a manifold locally?

Cross sections/projections of matrix groups

1 is a regular value of $\det:GL(n,\mathbb{R})\rightarrow\mathbb{R}$

Definition of Maximal atlas

Clarification on the rank and the derivative of a map $f:GL(n,\mathbb{R})\rightarrow\mathbb{R}$

Implication of $\partial \overline{\partial} f = 0$ on compact complex manifold

Degree of a non-surjective proper smooth map

Help with showing $\int_{\mathbb{C}P^1} \omega_{FS} = \pi$

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