List questions from riemannian-geometry

Published on 12 Apr 2026 - 0:04

65

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How to show equivalence of definitions ot the Rieman tensor

Published on 08 Apr 2026 - 18:32

138

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How to show that conformal spaces share the same null geodesics?

Published on 11 Apr 2026 - 9:12

35

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Prove $g_{\mu \nu}= g_{\mu \nu}|_p + \frac{1}{3}R_{\lambda \mu \nu \rho}|_p x^\lambda x^\rho +O(x^3)$ from the geodesic eq in normal Riemann coord.

Published on 26 Mar 2026 - 19:02

118

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Construct a divergence free symmetric $(2,0)$ tensor on curved manifold withsout Riemann tensor.

Published on 17 Oct 2023 - 11:04

52

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proof the bi-invariant metrics of lie group G

Published on 12 Apr 2026 - 18:47

235

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Proof of tensor characterisation lemma in Riemannian Geometry by Lee

Published on 11 Apr 2026 - 6:03

136

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Precise statement of Poincaré duality

Published on 27 Mar 2026 - 16:03

52

Views

Minimal length in the free homotopy class as translation length

Published on 12 Apr 2026 - 16:23

113

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The integral of the Lie derivative over a divergence free vector field is zero

Published on 11 Apr 2026 - 13:03

60

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Is it necessary to locally have an embedding if one wants to find a unit normal vector via an immersion?

Published on 20 Oct 2023 - 6:08

249

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Can the covariant derivative be integrated by parts?

Published on 26 Mar 2026 - 17:32

55

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Connection forms associatedwith the Levi-Civita connection

Published on 10 Apr 2026 - 23:38

140

Views

Divergence of an extrinsically defined vector field

Published on 22 Oct 2023 - 12:40

233

Views

Time derivative of time-dependent vector fields on a manifold

Published on 02 Apr 2026 - 23:38

List Question

A strange notation in Geroch's proof of the positive-energy theorem

How to show equivalence of definitions ot the Rieman tensor

How to show that conformal spaces share the same null geodesics?

Prove $g_{\mu \nu}= g_{\mu \nu}|_p + \frac{1}{3}R_{\lambda \mu \nu \rho}|_p x^\lambda x^\rho +O(x^3)$ from the geodesic eq in normal Riemann coord.

Construct a divergence free symmetric $(2,0)$ tensor on curved manifold withsout Riemann tensor.

proof the bi-invariant metrics of lie group G

Proof of tensor characterisation lemma in Riemannian Geometry by Lee

Precise statement of Poincaré duality

Minimal length in the free homotopy class as translation length

The integral of the Lie derivative over a divergence free vector field is zero

Is it necessary to locally have an embedding if one wants to find a unit normal vector via an immersion?

Can the covariant derivative be integrated by parts?

Connection forms associatedwith the Levi-Civita connection

Divergence of an extrinsically defined vector field

Time derivative of time-dependent vector fields on a manifold

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