List questions from differential-geometry

100

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$M, N, P$ smooth manifolds and $F: M \to N$, $G: N \to P$ smooth maps. Show $d(G\circ F)_p=dG_{F(p)} \circ dF_p: T_p M \to T_{G \circ F(p)}P$.

Published on 25 Mar 2026 - 14:25

388

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Conformal Killing Equation

Published on 09 Apr 2026 - 1:58

361

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Express exterior derivative using orthonormal frame

Published on 27 Mar 2026 - 6:51

396

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How to show that vector field is continuous?

Published on 11 Apr 2026 - 23:56

304

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Given a 2-plane distribution D in $ M^3$ ( 3-manifold, Contact Structure) , find a 1-form Generating D.

Published on 09 Apr 2026 - 2:43

618

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It is the set $V(y-\sin(x))\subset k^2$ a variety?

Published on 25 Mar 2026 - 6:10

154

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$\mathbb{HP}^2$, exotic 7-spheres, and Bott manifolds

Published on 09 Apr 2026 - 2:24

15.2k

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Radius of Curvature of Curve $r^2=a^2\cos 2x$

Published on 25 Mar 2026 - 16:03

61

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Flow of vector fields and inequality

Published on 27 Mar 2026 - 13:18

564

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Tensor products in the definition of a Riemannian metric

Published on 12 Apr 2026 - 13:54

95

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Does the Lie derivative of a form $\alpha$ in the direction of $X$ at $p$ depend only on $X(p)$?

Published on 25 Mar 2026 - 12:50

150

Views

How can the sectional

Published on 08 Apr 2026 - 16:42

143

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The application of implicit function theorem

Published on 01 Apr 2026 - 16:14

175

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Smooth curve at the boundary - inside a closed shape

Published on 12 Apr 2026 - 4:05

407

Views

Wrong sign in the Hodge Laplacian of a product of functions

Published on 25 Mar 2026 - 6:07

List Question

$M, N, P$ smooth manifolds and $F: M \to N$, $G: N \to P$ smooth maps. Show $d(G\circ F)_p=dG_{F(p)} \circ dF_p: T_p M \to T_{G \circ F(p)}P$.

Conformal Killing Equation

Express exterior derivative using orthonormal frame

How to show that vector field is continuous?

Given a 2-plane distribution D in $ M^3$ ( 3-manifold, Contact Structure) , find a 1-form Generating D.

It is the set $V(y-\sin(x))\subset k^2$ a variety?

$\mathbb{HP}^2$, exotic 7-spheres, and Bott manifolds

Radius of Curvature of Curve $r^2=a^2\cos 2x$

Flow of vector fields and inequality

Tensor products in the definition of a Riemannian metric

Does the Lie derivative of a form $\alpha$ in the direction of $X$ at $p$ depend only on $X(p)$?

How can the sectional

The application of implicit function theorem

Smooth curve at the boundary - inside a closed shape

Wrong sign in the Hodge Laplacian of a product of functions

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