List questions from smooth-manifolds

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Why is the exponential map clearly the identity map for $\mathbb R^n$?

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Extending smooth maps from the punctured disk

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$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

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Example of a parallelizable smooth manifold which is not a Lie Group

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Rank of a smooth map is lower semicontinuous?

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Showing that these vector fields commute on the image

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Measurable set on Manifold.

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58

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Acyclic compact Lie groups of dimension 3

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What are the Intrinsic properties of Euclidean spaces?

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63

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Killing homology below middle dimension with equivariant surgery

Published on 25 Mar 2026 - 2:15

145

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Subcover of a compact Manifold

Published on 24 Dec 2018 - 12:16

606

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Properties of forms and pullbacks

Published on 27 Mar 2026 - 4:23

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Loomis and Sternberg: Tangent Space to a manifold, using equivalence classes; help justifying one step of an argument

Published on 25 Mar 2026 - 6:12

397

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Derivative of $C^k$ function $(k < \infty)$ on smooth manifolds.

Published on 29 Mar 2026 - 12:40

List Question

Explanation of complex differential forms in terms of smooth differential forms

Why is the exponential map clearly the identity map for $\mathbb R^n$?

Extending smooth maps from the punctured disk

$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

Example of a parallelizable smooth manifold which is not a Lie Group

Rank of a smooth map is lower semicontinuous?

Showing that these vector fields commute on the image

Measurable set on Manifold.

Acyclic compact Lie groups of dimension 3

What are the Intrinsic properties of Euclidean spaces?

Killing homology below middle dimension with equivariant surgery

Subcover of a compact Manifold

Properties of forms and pullbacks

Loomis and Sternberg: Tangent Space to a manifold, using equivalence classes; help justifying one step of an argument

Derivative of $C^k$ function $(k < \infty)$ on smooth manifolds.

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