List questions from curvature

Published on 25 Mar 2026 - 17:22

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Curvature and torsion of a helix

Published on 21 Dec 2014 - 8:59

879

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What happens to geodesic curvature under the Gauss map?

Published on 26 Mar 2026 - 1:34

214

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Order of Riemann tensor indexes and the Ricci Identity

Published on 23 Dec 2014 - 4:19

1.8k

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Christoffel symbols of a surface of revolution

Published on 27 Dec 2014 - 3:04

115

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Flat Chern curvature implies a trivial holomorphic vector bundle

Published on 26 Mar 2026 - 6:02

62

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Derivative of tangent vector

Published on 03 Oct 2019 - 12:27

162

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Ricci curvature is symmetric bilinear form: Why $T_pM \times T_pM \to T_pM$ and not $T_pM \times T_pM \to \mathbb R$?

Published on 05 Oct 2019 - 3:25

135

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Symmetry of the (Riemann) curvature tensor of the Riemannian connection: $\nabla_{\nabla_Y Z}W = \nabla_Y(\nabla_Z W)$?

Published on 26 Mar 2026 - 6:01

28

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Finding the point and function of a parabola

Published on 06 Oct 2019 - 1:11

176

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Is Riemann curvature tensor defined for the Riemannian connection?

Published on 26 Mar 2026 - 5:54

120

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How to compute the Riemann tensor on arbitrary basis?

Published on 07 Oct 2019 - 13:32

662

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What is wrong with this proof of Cartan's second equation?

Published on 07 Oct 2019 - 22:04

230

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Curvature Matrix on a Smooth Vector Bundle

Published on 08 Oct 2019 - 1:45

75

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Yamabe problem but for Ricci curvature instead: what do we know?

Published on 10 Oct 2019 - 23:19

List Question

Curvature of plane curve, formula disagrees with Mathematica?

Curvature and torsion of a helix

What happens to geodesic curvature under the Gauss map?

Order of Riemann tensor indexes and the Ricci Identity

Christoffel symbols of a surface of revolution

Flat Chern curvature implies a trivial holomorphic vector bundle

Derivative of tangent vector

Ricci curvature is symmetric bilinear form: Why $T_pM \times T_pM \to T_pM$ and not $T_pM \times T_pM \to \mathbb R$?

Symmetry of the (Riemann) curvature tensor of the Riemannian connection: $\nabla_{\nabla_Y Z}W = \nabla_Y(\nabla_Z W)$?

Finding the point and function of a parabola

Is Riemann curvature tensor defined for the Riemannian connection?

How to compute the Riemann tensor on arbitrary basis?

What is wrong with this proof of Cartan's second equation?

Curvature Matrix on a Smooth Vector Bundle

Yamabe problem but for Ricci curvature instead: what do we know?

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