List questions from differential-topology

Published on 16 Apr 2026 - 13:44

92

Views

Do $SU(n) \to \operatorname{Spin}(2n)$ and $SU(n) \to O(2n)$ induces an embedding of $SU(n)$?

Published on 13 Apr 2026 - 5:50

68

Views

Do $U(n) \to Spin(2n)$ and $U(n) \to O(2n)$ induces an embedding of $U(n)$?

Published on 15 Apr 2026 - 12:46

83

Views

Show that the restriction of an involutive distribution to any open submanifold is involutive.

Published on 14 Apr 2026 - 0:59

169

Views

Pullback of $S^n$ volume form

Published on 12 Apr 2026 - 23:49

85

Views

Propagation of connectivity for level lines of a submersion

Published on 14 Apr 2026 - 2:22

48

Views

Number of connected components of two compact level sets close enough

Published on 13 Apr 2026 - 12:45

348

Views

Euler characteristic of a closed manifold whose universal cover is Euclidean

Published on 14 Apr 2026 - 10:40

215

Views

Quotient space of sphere $S^n/(\mathbf{Z}/k)$ as a Lie group

Published on 12 Apr 2026 - 4:47

51

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covering group of a topological group $H$: (locally) path-connected, and semilocally simply connected when reduced to $\pi_0(H)=\pi_1(H)=0?$

Published on 13 Apr 2026 - 19:37

47

Views

Homotopy $_0()$ and surfaces of transitivity of a generic Lie group $$

Published on 14 Apr 2026 - 0:52

334

Views

Hopf fibration from Hopf link: change to a different ambient space or a different type of link

Published on 11 May 2026 - 7:53

198

Views

The holomorphic quadratic differential has 4g-4 zeros

Published on 08 Apr 2026 - 23:04

258

Views

Extension of compatible almost complex structures from a closed set

Published on 26 Mar 2026 - 2:53

362

Views

Does local flatness imply a local Euclidean metric?

Published on 23 Apr 2026 - 10:30

List Question

Milnor's definition of index of a vector field

Do $SU(n) \to \operatorname{Spin}(2n)$ and $SU(n) \to O(2n)$ induces an embedding of $SU(n)$?

Do $U(n) \to Spin(2n)$ and $U(n) \to O(2n)$ induces an embedding of $U(n)$?

Show that the restriction of an involutive distribution to any open submanifold is involutive.

Pullback of $S^n$ volume form

Propagation of connectivity for level lines of a submersion

Number of connected components of two compact level sets close enough

Euler characteristic of a closed manifold whose universal cover is Euclidean

Quotient space of sphere $S^n/(\mathbf{Z}/k)$ as a Lie group

covering group of a topological group $H$: (locally) path-connected, and semilocally simply connected when reduced to $\pi_0(H)=\pi_1(H)=0?$

Homotopy $_0()$ and surfaces of transitivity of a generic Lie group $$

Hopf fibration from Hopf link: change to a different ambient space or a different type of link

The holomorphic quadratic differential has 4g-4 zeros

Extension of compatible almost complex structures from a closed set

Does local flatness imply a local Euclidean metric?

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