List questions from riemannian-geometry

Published on 25 Mar 2026 - 7:40

536

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Find all parallel vector fields along a curve

Published on 26 May 2018 - 10:45

872

Views

Geodesic curvature change under conformal metrics

Published on 19 Mar 2026 - 23:33

68

Views

Find $R\left(\frac{\partial}{\partial\rho}, \frac{\partial}{\partial \theta}\right)\frac{\partial}{\partial \rho}$ in $(\mathbb{R}P^2, g)$

Published on 25 Mar 2026 - 6:12

33

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When Sobolev maps are localizable?

Published on 17 Mar 2026 - 7:24

1.4k

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Are integral curves of a vector field $X$ such that $\nabla_X X = 0$ geodesics?

Published on 28 May 2018 - 16:43

46

Views

A question about the existence of Lie vector field

Published on 25 Mar 2026 - 4:20

121

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Inner circle of torus of revolution is calibrated

Published on 25 Mar 2026 - 16:03

550

Views

Intuition for warped product manifold.

Published on 25 Mar 2026 - 4:34

168

Views

Parallel planes of minimal surface

Published on 23 Mar 2026 - 7:20

136

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Complete Riemannian manifold $M,$ $C$ closed subset of $M.$ Then for $p\in M$ there is $p^{'}\in C$ that is as close to $p$

Published on 30 May 2018 - 1:47

299

Views

Does this condition on the curvature implies existence of a parallel section?

Published on 25 Mar 2026 - 7:49

87

Views

Do harmonic frames always exist locally?

Published on 30 May 2018 - 11:38

357

Views

Explicit complete metric on $\mathbb{C}\backslash \{ 0,1\} $ with Gaussian curvature $K \leqslant - 1$.

Published on 25 Mar 2026 - 6:12

88

Views

For $0<\nu<n$ there are no compact semi-Riemannian hypersurfaces in $\mathbb{R}_{\nu}^{n}$

Published on 25 Mar 2026 - 6:12

List Question

A particular connection on the group

Find all parallel vector fields along a curve

Geodesic curvature change under conformal metrics

Find $R\left(\frac{\partial}{\partial\rho}, \frac{\partial}{\partial \theta}\right)\frac{\partial}{\partial \rho}$ in $(\mathbb{R}P^2, g)$

When Sobolev maps are localizable?

Are integral curves of a vector field $X$ such that $\nabla_X X = 0$ geodesics?

A question about the existence of Lie vector field

Inner circle of torus of revolution is calibrated

Intuition for warped product manifold.

Parallel planes of minimal surface

Complete Riemannian manifold $M,$ $C$ closed subset of $M.$ Then for $p\in M$ there is $p^{'}\in C$ that is as close to $p$

Does this condition on the curvature implies existence of a parallel section?

Do harmonic frames always exist locally?

Explicit complete metric on $\mathbb{C}\backslash \{ 0,1\} $ with Gaussian curvature $K \leqslant - 1$.

For $0<\nu<n$ there are no compact semi-Riemannian hypersurfaces in $\mathbb{R}_{\nu}^{n}$

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