List questions from riemannian-geometry

Published on 29 Apr 2026 - 12:44

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How is the covariant derivative of a metric, $\nabla g$, defined?

Published on 05 May 2026 - 4:15

59

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Kaehler Potential Convexity

Published on 04 May 2026 - 21:45

283

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Concavity of distance to the boundary in Riemannian manifolds

Published on 03 May 2026 - 17:40

575

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Is it possible to construct the equation of a surface from its line element?

Published on 02 May 2026 - 18:33

150

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Application of Sobolev inequality

Published on 30 Apr 2026 - 4:36

930

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Does the covariant derivative commute with the variational derivative?

Published on 29 Apr 2026 - 12:16

135

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If $\nabla X=h \cdot \text{Id}_{TM}$ for a vector field $X$ and $h \in C^{\infty}(M)$, is $h$ constant?

Published on 05 May 2026 - 3:15

695

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Length of geodesic line equals distance between two points?

Published on 05 May 2026 - 4:11

159

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Monodromy representations and geodesics of singular flat metrics on $\mathbb{H}$

Published on 29 Apr 2026 - 12:26

34

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Does a vector field associated to a vector field $X$ via the Ricci curvature and the metric have a name?

Published on 29 Apr 2026 - 12:51

153

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Spin Bundle and Connection on $R^3$?

Published on 26 Apr 2026 - 12:13

561

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A flow of a parallel vector field preserves the connection?

Published on 07 May 2026 - 20:44

129

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Do pp-wave spacetimes have a well-defined signature/index?

Published on 04 May 2026 - 8:41

132

Views

An example for a stable harmonic map which is not a local minimizer

Published on 07 May 2026 - 10:08

List Question

An application of Topping's diameter estimates

How is the covariant derivative of a metric, $\nabla g$, defined?

Kaehler Potential Convexity

Concavity of distance to the boundary in Riemannian manifolds

Is it possible to construct the equation of a surface from its line element?

Application of Sobolev inequality

Does the covariant derivative commute with the variational derivative?

If $\nabla X=h \cdot \text{Id}_{TM}$ for a vector field $X$ and $h \in C^{\infty}(M)$, is $h$ constant?

Length of geodesic line equals distance between two points?

Monodromy representations and geodesics of singular flat metrics on $\mathbb{H}$

Does a vector field associated to a vector field $X$ via the Ricci curvature and the metric have a name?

Spin Bundle and Connection on $R^3$?

A flow of a parallel vector field preserves the connection?

Do pp-wave spacetimes have a well-defined signature/index?

An example for a stable harmonic map which is not a local minimizer

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