List questions from differential-geometry

Published on 14 Apr 2026 - 1:26

114

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How to construct a homeomorphism on closed unit disc onto itself which fixes boundary point wise?

Published on 09 Apr 2026 - 20:08

626

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Given a smooth manifold $M$, how does local coordinates affect the basis of $T_p(M)$?

Published on 15 Apr 2026 - 18:16

356

Views

Is valid the Brioschi Formula of Gaussian curvature in $R^n$?

Published on 10 Apr 2026 - 0:40

88

Views

How to prove surface S is part of a sphere？

Published on 08 Apr 2026 - 20:28

2.4k

Views

Coordinate basis and coordinate systems

Published on 05 Apr 2026 - 22:26

60

Views

Helmholtz equation with moving boundary in the plane

Published on 09 Apr 2026 - 17:30

46

Views

Relation between 2 different homology and cohomology pairings

Published on 12 Apr 2026 - 8:51

401

Views

integral of a k-form over an oriented compact manifold

Published on 13 Apr 2026 - 22:18

103

Views

Gluing (Principal) Bundles?

Published on 14 Apr 2026 - 14:00

657

Views

covariant derivative and metric compatibility

Published on 16 Apr 2026 - 11:20

936

Views

In the differential geometric view of Hamiltonian mechanics, why do the phase space coordinates come from the cotangent bundle $T^* Q$?

Published on 23 Apr 2026 - 19:04

63

Views

Prove the injectivity and differentiability of $x(u,v) = (u \cos(v), u \sin(v), \frac{u^2}{2}).$

Published on 13 Apr 2026 - 17:26

564

Views

Do differential equations correspond to vector fields, or differential forms, or both?

Published on 16 Apr 2026 - 22:01

111

Views

Continuity of a map: proving manifold structure of Grassmanian

Published on 12 Apr 2026 - 8:11

List Question

$C^1$-foliation are absolutely continuous

How to construct a homeomorphism on closed unit disc onto itself which fixes boundary point wise?

Given a smooth manifold $M$, how does local coordinates affect the basis of $T_p(M)$?

Is valid the Brioschi Formula of Gaussian curvature in $R^n$?

How to prove surface S is part of a sphere？

Coordinate basis and coordinate systems

Helmholtz equation with moving boundary in the plane

Relation between 2 different homology and cohomology pairings

integral of a k-form over an oriented compact manifold

Gluing (Principal) Bundles?

covariant derivative and metric compatibility

In the differential geometric view of Hamiltonian mechanics, why do the phase space coordinates come from the cotangent bundle $T^* Q$?

Prove the injectivity and differentiability of $x(u,v) = (u \cos(v), u \sin(v), \frac{u^2}{2}).$

Do differential equations correspond to vector fields, or differential forms, or both?

Continuity of a map: proving manifold structure of Grassmanian

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