List questions from differential-geometry

Published on 12 May 2026 - 4:36

799

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Chern-Weil homomorphism and Chern/Pontryagin/Euler class

Published on 14 May 2026 - 13:40

24

Views

Superposition of bodies in space.

Published on 10 May 2026 - 19:29

1.1k

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Is a vector field a mathematical field?

Published on 04 May 2026 - 13:07

720

Views

How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Published on 31 Mar 2026 - 20:08

422

Views

Dirichlet domain is actually a polygon

Published on 13 May 2026 - 22:35

1.5k

Views

Chern classes, cohomology classes with real/integer coefficients

Published on 17 May 2026 - 11:14

492

Views

Show that the following curve, $\alpha (s)$ is a circle centered at the origin

Published on 31 Mar 2026 - 20:07

229

Views

When we construct a regular sub manifold, can we set any coordinate of the coordinate system equal to 0?

Published on 10 May 2026 - 14:56

682

Views

Is a conformal transformation also a general coordinate transformation?

Published on 14 May 2026 - 8:12

160

Views

Manifolds with boundary and foliations

Published on 11 May 2026 - 14:08

870

Views

Show the equivalence of arc length definitions

Published on 11 May 2026 - 18:06

365

Views

Orientation class in relative homology and integration

Published on 10 May 2026 - 23:24

943

Views

Linear operations on space of sections of vector bundle

Published on 13 May 2026 - 23:34

255

Views

The metric tensor at $p$ satisfies $g_{a b, c d} + g_{a d,b c} + g_{a c, d b} = 0$ in a normal coordinate system centered at $p$

Published on 10 May 2026 - 15:02

List Question

A flow of a parallel vector field preserves the connection?

Chern-Weil homomorphism and Chern/Pontryagin/Euler class

Superposition of bodies in space.

Is a vector field a mathematical field?

How do you show $f(x,y)=\left( \frac{x}{x^2+y^2},\frac{y}{x^2+y^2}\right)$ is a diffeomorphism?

Dirichlet domain is actually a polygon

Chern classes, cohomology classes with real/integer coefficients

Show that the following curve, $\alpha (s)$ is a circle centered at the origin

When we construct a regular sub manifold, can we set any coordinate of the coordinate system equal to 0?

Is a conformal transformation also a general coordinate transformation?

Manifolds with boundary and foliations

Show the equivalence of arc length definitions

Orientation class in relative homology and integration

Linear operations on space of sections of vector bundle

The metric tensor at $p$ satisfies $g_{a b, c d} + g_{a d,b c} + g_{a c, d b} = 0$ in a normal coordinate system centered at $p$

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