List questions from riemannian-geometry

Published on 14 Apr 2026 - 14:04

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Proving the Ricci identity

Published on 27 Mar 2026 - 11:39

703

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The continuity of injectivity radius

Published on 17 Apr 2026 - 5:44

73

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Two proof of Petersen's 'Manifold'

Published on 28 Apr 2026 - 16:48

69

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What is $P\times_G E$?

Published on 28 Apr 2026 - 2:23

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Understanding wedge products for differential forms

Published on 11 Apr 2026 - 21:18

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Metric evolving under Ricci flow with nonnegative scalar curvature is shrinking?

Published on 14 Apr 2026 - 5:51

322

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Affine manifolds which are not locally symmetric

Published on 28 Mar 2026 - 12:02

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Lie derivative of two differnt size related tensors

Published on 15 Apr 2026 - 22:57

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Show that , for all $(s_{0},t_{0})\in [0,1]\times [0,a]$, the curves $s\to f(s,t_{0})$, $t\to f(s_{0},t)$ are orthogonals.

Published on 14 Apr 2026 - 19:11

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Divergence of vector field on manifold

Published on 16 Apr 2026 - 15:31

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Is the set $\bigsqcup_{p\in M} \{v\in T_pM: |v|_g< r_p\}$open in $TM$?(where $r_p$ the injectivity radius at $p$)

Published on 16 Apr 2026 - 7:45

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Dirichlet problem for a ball in a Riemannian Manifold

Published on 17 Apr 2026 - 13:43

115

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Question about homogeneity of the geodesic

Published on 28 Mar 2026 - 12:02

54

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How to show $\nabla_a\nabla_c R_{ad}-\nabla_c \nabla _a R_{ad}=-R_{cade} R_{ae}-R_{ce} R _{de}$?

Published on 15 Apr 2026 - 3:50

List Question

Why is a tensor product used in local expression of Riemannian metric?

Proving the Ricci identity

The continuity of injectivity radius

Two proof of Petersen's 'Manifold'

What is $P\times_G E$?

Understanding wedge products for differential forms

Metric evolving under Ricci flow with nonnegative scalar curvature is shrinking?

Affine manifolds which are not locally symmetric

Lie derivative of two differnt size related tensors

Show that , for all $(s_{0},t_{0})\in [0,1]\times [0,a]$, the curves $s\to f(s,t_{0})$, $t\to f(s_{0},t)$ are orthogonals.

Divergence of vector field on manifold

Is the set $\bigsqcup_{p\in M} \{v\in T_pM: |v|_g< r_p\}$open in $TM$?(where $r_p$ the injectivity radius at $p$)

Dirichlet problem for a ball in a Riemannian Manifold

Question about homogeneity of the geodesic

How to show $\nabla_a\nabla_c R_{ad}-\nabla_c \nabla _a R_{ad}=-R_{cade} R_{ae}-R_{ce} R _{de}$?

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