List questions from smooth-manifolds

Published on 27 Dec 2018 - 12:33

72

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Homotopy type of smooth manifold with boundary

Published on 25 Mar 2026 - 11:03

766

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Adapted charts for smooth manifold

Published on 26 Mar 2026 - 15:16

640

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Submanifolds and adapted atlas

Published on 26 Mar 2026 - 15:16

36

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show that $f(x)=a^2 + b^2 + c^2 + d^2$ is smooth on $\text{SL}_2(\mathbb{Z})\backslash \text{SL}_2(\mathbb{R})$

Published on 25 Mar 2026 - 11:15

142

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Characterization of being a submersion

Published on 29 Mar 2026 - 15:31

302

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$F:M\to N$ is surjective if $\int_M F^* \eta \ne 0$ for some $\eta \in \Omega^n(N)$

Published on 26 Mar 2026 - 2:57

672

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Smooth quotient bundle

Published on 26 Mar 2026 - 11:07

125

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Computing the differential of a certain smooth map

Published on 26 Mar 2026 - 15:16

102

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How to transfer the integration theory of smooth manifold to that of $C^k$ manifold

Published on 29 Mar 2026 - 14:25

325

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The Image of sphere under the map $f: (x,y,z) \to (x^2,y^2,z^2,\sqrt{2}yz, \sqrt{2}zx, \sqrt{2}xy)$ and $\mathbb{R}P^2$

Published on 29 Mar 2026 - 14:25

154

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The hypothesis $K\leq 0$ in the proof of Hadamard's Theorem

Published on 25 Mar 2026 - 19:11

128

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How to solve this system differential equations to determine the local flow of a smooth vector field?

Published on 06 Jan 2019 - 14:04

443

Views

Smooth curves and velocity

Published on 26 Mar 2026 - 15:16

55

Views

Is the condition 'connected' necessary for differentiable structure?

Published on 07 Jan 2019 - 5:29

List Question

The nonsingular variety is a manifold and irreduciblity

Homotopy type of smooth manifold with boundary

Adapted charts for smooth manifold

Submanifolds and adapted atlas

show that $f(x)=a^2 + b^2 + c^2 + d^2$ is smooth on $\text{SL}_2(\mathbb{Z})\backslash \text{SL}_2(\mathbb{R})$

Characterization of being a submersion

$F:M\to N$ is surjective if $\int_M F^* \eta \ne 0$ for some $\eta \in \Omega^n(N)$

Smooth quotient bundle

Computing the differential of a certain smooth map

How to transfer the integration theory of smooth manifold to that of $C^k$ manifold

The Image of sphere under the map $f: (x,y,z) \to (x^2,y^2,z^2,\sqrt{2}yz, \sqrt{2}zx, \sqrt{2}xy)$ and $\mathbb{R}P^2$

The hypothesis $K\leq 0$ in the proof of Hadamard's Theorem

How to solve this system differential equations to determine the local flow of a smooth vector field?

Smooth curves and velocity

Is the condition 'connected' necessary for differentiable structure?

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