List questions from differential-geometry

Published on 11 Apr 2026 - 2:01

487

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How much Abstract Algebra is needed to study Differential Geometry in modern fashion?

Published on 11 Apr 2026 - 14:15

1.4k

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Coorientation of contact structures

Published on 10 Apr 2026 - 17:07

247

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Fourier analysis on linear spaces and general smooth manifolds

Published on 11 Apr 2026 - 13:34

272

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Jacobi fields / conjugate points problem in do Carmo's book

Published on 25 Mar 2026 - 5:00

83

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Every regular space curve with polynomial coordinates of degree less or equal to 2 is a plane curve

Published on 08 Sep 2018 - 21:11

183

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Period of curve defined by trig functions (on a torus)

Published on 26 Mar 2026 - 0:53

264

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variation of an action functional

Published on 11 Apr 2026 - 8:08

214

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Solutions to $\frac{Q\partial P}{x\partial x}-\frac{P\partial Q}{x\partial x}-\frac{Q\partial P}{y\partial y}+\frac{P\partial Q}{y\partial y}=0$

Published on 06 Apr 2026 - 17:50

741

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Fundamental group of $M$ has no subgroup of index $2\Rightarrow M$ is orientable

Published on 25 Mar 2026 - 9:28

64

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Sum formulas for Pontrjagin square and Postnikov square

Published on 25 Mar 2026 - 12:46

127

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Pontryagin square: lifting to an integral cocycle, and an element $H^4 (B^2 \mathbb{Z}_r, \mathbb{Z}_{2r})=$Hom$(\mathbb{Z}_{2r},\mathbb{Z}_{2r})$?

Published on 10 Apr 2026 - 11:55

151

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Maps on compact riemannian manifolds that differ by a small amount are homotopic?

Published on 27 Mar 2026 - 4:57

142

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Euler characteristic of circle intersections

Published on 10 Sep 2018 - 2:52

257

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In a complete Riemannian manifold $M$, do any two points $p,q\in M$ admit a length minimizing geodesic?

Published on 26 Mar 2026 - 13:00

List Question

Product of coefficients of second fundamental form

How much Abstract Algebra is needed to study Differential Geometry in modern fashion?

Coorientation of contact structures

Fourier analysis on linear spaces and general smooth manifolds

Jacobi fields / conjugate points problem in do Carmo's book

Every regular space curve with polynomial coordinates of degree less or equal to 2 is a plane curve

Period of curve defined by trig functions (on a torus)

variation of an action functional

Solutions to $\frac{Q\partial P}{x\partial x}-\frac{P\partial Q}{x\partial x}-\frac{Q\partial P}{y\partial y}+\frac{P\partial Q}{y\partial y}=0$

Fundamental group of $M$ has no subgroup of index $2\Rightarrow M$ is orientable

Sum formulas for Pontrjagin square and Postnikov square

Pontryagin square: lifting to an integral cocycle, and an element $H^4 (B^2 \mathbb{Z}_r, \mathbb{Z}_{2r})=$Hom$(\mathbb{Z}_{2r},\mathbb{Z}_{2r})$?

Maps on compact riemannian manifolds that differ by a small amount are homotopic?

Euler characteristic of circle intersections

In a complete Riemannian manifold $M$, do any two points $p,q\in M$ admit a length minimizing geodesic?

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