List questions from riemannian-geometry

Published on 22 Mar 2026 - 16:07

4.6k

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

Published on 19 Mar 2026 - 23:42

46

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Kaehler Potential Convexity

Published on 17 Mar 2026 - 4:24

276

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Concavity of distance to the boundary in Riemannian manifolds

Published on 22 Mar 2026 - 12:39

569

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

Published on 19 Mar 2026 - 16:18

142

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Application of Sobolev inequality

Published on 22 Mar 2026 - 1:32

923

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Does the covariant derivative commute with the variational derivative?

Published on 20 Mar 2026 - 6:25

126

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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 17 Mar 2026 - 11:32

684

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Length of geodesic line equals distance between two points?

Published on 20 Mar 2026 - 9:10

152

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

Published on 20 Mar 2026 - 15:42

28

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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 23 Jan 2018 - 19:27

144

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Spin Bundle and Connection on $R^3$?

Published on 22 Mar 2026 - 9:38

554

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A flow of a parallel vector field preserves the connection?

Published on 20 Mar 2026 - 21:47

121

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

Published on 20 Mar 2026 - 5:36

118

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

Published on 22 Mar 2026 - 7:11

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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