List questions from manifolds

Published on 14 Apr 2026 - 4:36

207

Views

How to find the tangent space of $O(n)$ by considering $O(n)$ as the pre-image of the map $A \mapsto AA^T$ at identity?

Published on 14 Apr 2026 - 10:03

11.6k

Views

connected manifolds are path connected

Published on 09 Apr 2026 - 23:52

311

Views

Geometric interpretation of the evaluation of Poincaré dual with a fundamental class

Published on 13 Apr 2026 - 12:23

90

Views

Relative singular homology $H(M,\partial M)$ for a manifold $M$?

Published on 15 Apr 2026 - 23:49

548

Views

Centroid of manifold

Published on 13 Apr 2026 - 13:31

35

Views

The orientation of a parametrized $k$-manifold

Published on 14 Apr 2026 - 10:48

829

Views

Length of Circle on a Sphere

Published on 14 Apr 2026 - 8:13

486

Views

Outward pointing normal vector to a $k$ manifold in $\mathbb{R}^n $

Published on 16 Apr 2026 - 5:17

165

Views

How can we calculate $Xf$?

Published on 09 Apr 2026 - 15:37

7.5k

Views

Moebius band not homeomorphic to Cylinder.

Published on 11 Apr 2026 - 5:43

223

Views

Prove that the set of all vector fields $V(S^1)$ is a free $C^{\infty}(S^1)$-module

Published on 15 Apr 2026 - 16:35

51

Views

Lie Groups map question

Published on 23 Apr 2026 - 15:25

85

Views

Left invariant vector field question

Published on 16 Apr 2026 - 0:51

1.5k

Views

What is manifold in Geometry?

Published on 12 Apr 2026 - 0:02

List Question

Interior of a compact 3-manifold

How to find the tangent space of $O(n)$ by considering $O(n)$ as the pre-image of the map $A \mapsto AA^T$ at identity?

connected manifolds are path connected

Geometric interpretation of the evaluation of Poincaré dual with a fundamental class

Relative singular homology $H(M,\partial M)$ for a manifold $M$?

Centroid of manifold

The orientation of a parametrized $k$-manifold

Length of Circle on a Sphere

Outward pointing normal vector to a $k$ manifold in $\mathbb{R}^n $

How can we calculate $Xf$?

Moebius band not homeomorphic to Cylinder.

Prove that the set of all vector fields $V(S^1)$ is a free $C^{\infty}(S^1)$-module

Lie Groups map question

Left invariant vector field question

What is manifold in Geometry?

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