List questions from riemannian-geometry

Published on 26 Mar 2026 - 6:33

78

Views

Can't see my mistake in these computations to prove second contracted Bianchi identity

Published on 25 Mar 2026 - 1:17

28

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How close are the exponential maps on $\mathbb{S}^2$ at two nearby points?

Published on 17 Apr 2020 - 15:58

256

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Sectional curvature of symmetric spaces of rank one is pinched

Published on 18 Apr 2020 - 0:11

73

Views

For any Riemann Curvature $K$, does there exists an open set $G$ such that every point $p$ in $G$ has Curvature $K$?

Published on 27 Mar 2026 - 23:14

113

Views

Taking directional derivatives of smooth sections of vector bundles

Published on 26 Mar 2026 - 13:46

22

Views

curvature tensor and the metric

Published on 19 Apr 2020 - 11:34

51

Views

$4$-dimensional Pseudo-Riemannian manifolds with $R_{ij}=\frac 14 R g_{ij}$

Published on 25 Mar 2026 - 18:57

60

Views

Curvature of orthogonal distribution in a Riemannian principal space

Published on 25 Mar 2026 - 19:10

66

Views

Does there exist a real-valued function on the hyperbolic plane which has bounded hessian norm and unbounded gradient norm?

Published on 28 Mar 2026 - 8:38

1.7k

Views

Definition of Tensor Laplacian

Published on 29 Mar 2026 - 4:48

742

Views

How are these two properties of Conformal Killing Vectors compatible?

Published on 28 Mar 2026 - 6:23

120

Views

Why is it important to stay positive Ricci curvature during Ricci flow?

Published on 25 Mar 2026 - 3:03

3.5k

Views

Why must harmonic functions on compact Riemannian manifolds be constant?

Published on 22 Apr 2020 - 15:35

124

Views

Is the maximum sectional curvature smooth?

Published on 27 Mar 2026 - 14:50

List Question

Solving a differential equation in polar coordinates

Can't see my mistake in these computations to prove second contracted Bianchi identity

How close are the exponential maps on $\mathbb{S}^2$ at two nearby points?

Sectional curvature of symmetric spaces of rank one is pinched

For any Riemann Curvature $K$, does there exists an open set $G$ such that every point $p$ in $G$ has Curvature $K$?

Taking directional derivatives of smooth sections of vector bundles

curvature tensor and the metric

$4$-dimensional Pseudo-Riemannian manifolds with $R_{ij}=\frac 14 R g_{ij}$

Curvature of orthogonal distribution in a Riemannian principal space

Does there exist a real-valued function on the hyperbolic plane which has bounded hessian norm and unbounded gradient norm?

Definition of Tensor Laplacian

How are these two properties of Conformal Killing Vectors compatible?

Why is it important to stay positive Ricci curvature during Ricci flow?

Why must harmonic functions on compact Riemannian manifolds be constant?

Is the maximum sectional curvature smooth?

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