List questions from riemannian-geometry

Published on 10 Apr 2026 - 20:37

932

Views

Equidistant points to a hyperbolic line

Published on 13 Apr 2026 - 21:16

443

Views

Taylor series representation for a Riemannian hypersurface

Published on 13 Apr 2026 - 17:10

380

Views

Complete Riemannian metric on ${\mathbb R}^2\setminus\{0\}$.

Published on 16 Apr 2026 - 4:46

142

Views

Is Hilbert's theorem generalizable to $H^3$ immersion in $\mathbb{R}^4$?

Published on 11 Apr 2026 - 16:13

181

Views

Constructing a metric for the tautological line bundle of $\mathbb C P^2$

Published on 14 Apr 2026 - 10:11

1.1k

Views

Chern-Gauss-Bonnet theorem for even-dimensional manifolds with boundary

Published on 13 Apr 2026 - 0:36

2.8k

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Computing curvature of hyperbolic space

Published on 15 Apr 2026 - 5:23

51

Views

Space of $G$-connections; respecting a spin structure

Published on 19 Apr 2026 - 2:19

105

Views

The function $m: C^{\infty}(M) \times C^{\infty}(M) \to C^{\infty}(M)$ $m(f,g) = fg$ is $C^{\infty}$ bilinear ... so is it tensor like?

Published on 16 Apr 2026 - 2:37

438

Views

Diffeomorphism that pulls back the curvature tensor is an isometry?

Published on 13 Apr 2026 - 22:55

1.4k

Views

Holonomy computation in a sphere

Published on 14 Apr 2026 - 18:24

378

Views

If $\nabla_1$ and $\nabla_2$ are Levi-Civita connections for a metric on the smooth sphere, then their curvature tensor would recover the radius...?

Published on 16 Apr 2026 - 8:27

491

Views

Error when computing geodesics in hyperbolic half plane

Published on 15 Apr 2026 - 7:13

1.1k

Views

Metric Isometry is always smooth?

Published on 12 Apr 2026 - 18:19

List Question

looking for some exercise to test understanding of covector

Equidistant points to a hyperbolic line

Taylor series representation for a Riemannian hypersurface

Complete Riemannian metric on ${\mathbb R}^2\setminus\{0\}$.

Is Hilbert's theorem generalizable to $H^3$ immersion in $\mathbb{R}^4$?

Constructing a metric for the tautological line bundle of $\mathbb C P^2$

Chern-Gauss-Bonnet theorem for even-dimensional manifolds with boundary

Computing curvature of hyperbolic space

Space of $G$-connections; respecting a spin structure

The function $m: C^{\infty}(M) \times C^{\infty}(M) \to C^{\infty}(M)$ $m(f,g) = fg$ is $C^{\infty}$ bilinear ... so is it tensor like?

Diffeomorphism that pulls back the curvature tensor is an isometry?

Holonomy computation in a sphere

If $\nabla_1$ and $\nabla_2$ are Levi-Civita connections for a metric on the smooth sphere, then their curvature tensor would recover the radius...?

Error when computing geodesics in hyperbolic half plane

Metric Isometry is always smooth?

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