List questions from riemannian-geometry

Published on 11 Apr 2026 - 16:49

34

Views

If $\gamma _1$ and $\gamma _2$ are two different geodesic from $x$ to $y$, then, there is no minimal geodesic from $x$ to $z$

Published on 11 Apr 2026 - 20:19

1.1k

Views

Metric hyperbolic polar

Published on 17 Apr 2026 - 8:53

237

Views

Find the curvature of the sphere

Published on 15 Apr 2026 - 8:23

48

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If $f\in \mathbb C^\infty (M)$ and $(M,g)$ a Riemannian metric, does $g(fX,Y)=fg(X,Y)$?

Published on 17 Apr 2026 - 7:18

70

Views

Geodesic of the half plan of Poincaré.

Published on 16 Apr 2026 - 18:08

3k

Views

Metric tensor and Christoffel symbols of the hyperbolic n-space

Published on 15 Apr 2026 - 2:02

2.5k

Views

First variation formula and geodesic

Published on 10 Apr 2026 - 18:29

355

Views

Volume of a geodesic ball in a Riemannian manifold with $K<0$.

Published on 12 Apr 2026 - 23:47

175

Views

Reference of what metric can be placed on manifold?

Published on 31 Mar 2026 - 13:08

543

Views

Geodesic sphere in $\mathbb H^2$

Published on 26 Mar 2026 - 3:10

307

Views

Every length minimizing $\mathcal C^1$ curve is a geodesic.

Published on 15 Apr 2026 - 0:21

218

Views

Minimizing curve is differentiable

Published on 15 Apr 2026 - 3:46

291

Views

Reference about the surgery of Ricci flow

Published on 10 Apr 2026 - 21:37

283

Views

Critical point of Mabuchi energy functional has zero scalar curvature

Published on 15 Apr 2026 - 12:34

List Question

Parallelizable open dense subset and integration

If $\gamma _1$ and $\gamma _2$ are two different geodesic from $x$ to $y$, then, there is no minimal geodesic from $x$ to $z$

Metric hyperbolic polar

Find the curvature of the sphere

If $f\in \mathbb C^\infty (M)$ and $(M,g)$ a Riemannian metric, does $g(fX,Y)=fg(X,Y)$?

Geodesic of the half plan of Poincaré.

Metric tensor and Christoffel symbols of the hyperbolic n-space

First variation formula and geodesic

Volume of a geodesic ball in a Riemannian manifold with $K<0$.

Reference of what metric can be placed on manifold?

Geodesic sphere in $\mathbb H^2$

Every length minimizing $\mathcal C^1$ curve is a geodesic.

Minimizing curve is differentiable

Reference about the surgery of Ricci flow

Critical point of Mabuchi energy functional has zero scalar curvature

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