List questions from manifolds

Published on 25 Mar 2026 - 6:04

102

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Show that ∂(M×N)=M × ∂N.

Published on 25 Mar 2026 - 7:41

39

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Is a group $(G, \cdot)$, $G \subset \Bbb R^n$, such that $\cdot$ and the inversion are differentiable always a Lie Group?

Published on 26 Mar 2026 - 6:31

348

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If M is an oriented topological n-Manifold, is M - {x} oriented?

Published on 15 Apr 2018 - 20:08

52

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$T(F' \circ F) = TF' \circ TF$

Published on 24 Mar 2026 - 22:01

60

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Show that $f^{-1}(0)$ is a manifold on $U\times V$

Published on 17 Apr 2018 - 19:12

126

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Changing the fiber in vector bundles

Published on 25 Mar 2026 - 6:10

344

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Show that a set fails to be a manifold

Published on 25 Mar 2026 - 20:42

25

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Low-dimensional subcomplexes, isomorphisms in cohomology?

Published on 25 Mar 2026 - 17:18

714

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Wedge product of closed $2$-forms not exact

Published on 26 Mar 2026 - 1:08

102

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Homotopy Theory involved in De Rham Cohomology computation

Published on 25 Mar 2026 - 23:33

4.5k

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Intuitive thinking of differential forms in terms of gradient, divergence and curl?

Published on 25 Mar 2026 - 13:33

292

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Let $M$ is compact Riemann surface, if $\omega$ is a 2-form and $\int_{M} \omega =0$ then there exists a smooth function $f$ such that $\omega=d*df$

Published on 22 Mar 2026 - 19:41

213

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If $N$ is a submanifold of $M$ and $V\subset M$ connected, then $N\cap V$ is the union of connected subsets of $N$

Published on 26 Mar 2026 - 1:12

1.1k

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Vector fields commute implies flows can be written as composition of individual flows

Published on 25 Mar 2026 - 13:44

List Question

Finite quotient of a manifold

Show that ∂(M×N)=M × ∂N.

Is a group $(G, \cdot)$, $G \subset \Bbb R^n$, such that $\cdot$ and the inversion are differentiable always a Lie Group?

If M is an oriented topological n-Manifold, is M - {x} oriented?

$T(F' \circ F) = TF' \circ TF$

Show that $f^{-1}(0)$ is a manifold on $U\times V$

Changing the fiber in vector bundles

Show that a set fails to be a manifold

Low-dimensional subcomplexes, isomorphisms in cohomology?

Wedge product of closed $2$-forms not exact

Homotopy Theory involved in De Rham Cohomology computation

Intuitive thinking of differential forms in terms of gradient, divergence and curl?

Let $M$ is compact Riemann surface, if $\omega$ is a 2-form and $\int_{M} \omega =0$ then there exists a smooth function $f$ such that $\omega=d*df$

If $N$ is a submanifold of $M$ and $V\subset M$ connected, then $N\cap V$ is the union of connected subsets of $N$

Vector fields commute implies flows can be written as composition of individual flows

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