List questions from differential-geometry

Published on 26 Mar 2026 - 23:09

216

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First Integral of the Hamiltonian System

Published on 01 Apr 2026 - 8:14

387

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A Killing field on a compact Riemannian manifold $M$ of positive sectional curvature has a singularity

Published on 26 Mar 2026 - 4:36

145

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2-dimensional vector bundles on projective 3-space

Published on 25 Mar 2026 - 21:00

215

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What are the planes that give principal curvatures in this surface?

Published on 26 Jun 2018 - 5:31

83

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Difference between $(\cdot , \cdot)$ and $\left< \cdot , \cdot \right>$?

Published on 27 Mar 2026 - 8:38

83

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Doubts regarding the definition of surface in $\mathbb R^3$

Published on 26 Mar 2026 - 23:09

356

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Lie groups as spaces with trivial tangent bundle

Published on 27 Mar 2026 - 0:02

311

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Local expression of Hessian operator in Riemannian Geometry

Published on 24 Mar 2026 - 23:45

226

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Can I use de Rham Cohomology to prove exactness of 1-forms on the $2$ sphere?

Published on 26 Mar 2026 - 1:04

93

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Define an atlas on the set of all pointed lines in $\mathbb{R}^2$.

Published on 26 Mar 2026 - 4:34

136

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Fine sheaf and exact form

Published on 01 Apr 2026 - 5:19

2.1k

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The gauss map $ N$ is surjective if the surface is compact

Published on 25 Mar 2026 - 9:37

822

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do Carmo's proof to the fact that a unit sphere is regular surface

Published on 27 Jun 2018 - 10:12

674

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Relationship between sectional and gauss curvature on higher dimensional manifold.

Published on 25 Mar 2026 - 9:38

List Question

Definition of a smooth 4-manifold

First Integral of the Hamiltonian System

A Killing field on a compact Riemannian manifold $M$ of positive sectional curvature has a singularity

2-dimensional vector bundles on projective 3-space

What are the planes that give principal curvatures in this surface?

Difference between $(\cdot , \cdot)$ and $\left< \cdot , \cdot \right>$?

Doubts regarding the definition of surface in $\mathbb R^3$

Lie groups as spaces with trivial tangent bundle

Local expression of Hessian operator in Riemannian Geometry

Can I use de Rham Cohomology to prove exactness of 1-forms on the $2$ sphere?

Define an atlas on the set of all pointed lines in $\mathbb{R}^2$.

Fine sheaf and exact form

The gauss map $ N$ is surjective if the surface is compact

do Carmo's proof to the fact that a unit sphere is regular surface

Relationship between sectional and gauss curvature on higher dimensional manifold.

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