List questions from riemannian-geometry

Published on 28 Mar 2026 - 3:32

403

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The dimension of Jacobi field

Published on 02 Apr 2020 - 9:40

135

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Riemann sphere as plane with delta-function curvature

Published on 30 Mar 2026 - 14:59

1.7k

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Gauss curvature of conformal metrics

Published on 27 Mar 2026 - 19:55

35

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Question on Tensor Contraction Statement

Published on 29 Mar 2026 - 16:54

198

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Uniqueness of fibre metric in Riemannian Manifold

Published on 29 Mar 2026 - 13:47

44

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Sectional curvature independent of the $2$-plane $\Rightarrow$ $ric_p=(m-1)sec(p)g$

Published on 27 Mar 2026 - 19:54

290

Views

Distances in geodesic triangles in manifolds with negative curvature

Published on 26 Mar 2026 - 6:30

256

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Parallel vector fields orthonormal at a point implies manifold is euclidean

Published on 03 Apr 2020 - 18:21

186

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A Riemannian manifold with a non-degenerate metric and an inner product $u_{\beta}u^{\beta}=1$

Published on 03 Apr 2020 - 19:06

26

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Can we put a flat metric on any subset of $\mathbb{R}^D$ that's diffeomorphic to an open subset on $\mathbb{R}^d, d < D?$ (just checking!)

Published on 04 Apr 2020 - 12:04

1.7k

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Find the metric on sphere induced from the embedding

Published on 25 Mar 2026 - 13:54

100

Views

Deriving components of Riemann Tensor

Published on 29 Mar 2026 - 16:47

88

Views

Existence of compact space forms of negative curvature

Published on 27 Mar 2026 - 21:35

127

Views

Properties of geodesic distance matrices

Published on 26 Mar 2026 - 6:27

List Question

Is this $2$-form harmonic?

The dimension of Jacobi field

Riemann sphere as plane with delta-function curvature

Gauss curvature of conformal metrics

Question on Tensor Contraction Statement

Uniqueness of fibre metric in Riemannian Manifold

Sectional curvature independent of the $2$-plane $\Rightarrow$ $ric_p=(m-1)sec(p)g$

Distances in geodesic triangles in manifolds with negative curvature

Parallel vector fields orthonormal at a point implies manifold is euclidean

A Riemannian manifold with a non-degenerate metric and an inner product $u_{\beta}u^{\beta}=1$

Can we put a flat metric on any subset of $\mathbb{R}^D$ that's diffeomorphic to an open subset on $\mathbb{R}^d, d < D?$ (just checking!)

Find the metric on sphere induced from the embedding

Deriving components of Riemann Tensor

Existence of compact space forms of negative curvature

Properties of geodesic distance matrices

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