List questions from riemannian-geometry

68

Views

Is determining a geodesic on a riemannian manifold a limit case of the shortest path problem in a graph?

Published on 29 Sep 2018 - 13:18

370

Views

Realizing the wedge product of $\mathbb{R}^3$ as torsion or curvature tensor

Published on 30 Sep 2018 - 20:10

41

Views

$Ric(\nabla f ,\nabla h)$ in local coordinates, for $f,g \in C^{3}(M)$

Published on 25 Mar 2026 - 22:05

4k

Views

Showing that the geodesics in hyperbolic upper half-plane model are half circles

Published on 25 Mar 2026 - 23:37

230

Views

How do I prove this map is a covering Projection

Published on 24 Mar 2026 - 23:43

347

Views

Is there a unique minimizing geodesic to a geodesically convex set?

Published on 25 Mar 2026 - 6:27

46

Views

Laplacian on 1-forms on $(\mathbb R^m,\delta)$

Published on 25 Mar 2026 - 22:10

44

Views

Shape operators with positive eigenvalues

Published on 01 Oct 2018 - 22:48

778

Views

Horizontal Subbundles and Connection Maps

Published on 25 Mar 2026 - 13:53

487

Views

Hyperbolic space is complete

Published on 02 Oct 2018 - 23:53

533

Views

Clarifying the definition of Lie derivative for tensors

Published on 25 Mar 2026 - 12:54

241

Views

Normalisation of the cuspidal curve as a Riemann surface

Published on 25 Mar 2026 - 14:38

2.1k

Views

Finding the geodesic equations on $S^2$

Published on 06 Oct 2018 - 8:42

98

Views

(pseudo-)Riemannian manifolds and global coordinates

Published on 06 Oct 2018 - 13:45

27

Views

How do lie symmetries manfest in the metric tensors of their manifolds?

Published on 09 Oct 2018 - 5:33

List Question

Is determining a geodesic on a riemannian manifold a limit case of the shortest path problem in a graph?

Realizing the wedge product of $\mathbb{R}^3$ as torsion or curvature tensor

$Ric(\nabla f ,\nabla h)$ in local coordinates, for $f,g \in C^{3}(M)$

Showing that the geodesics in hyperbolic upper half-plane model are half circles

How do I prove this map is a covering Projection

Is there a unique minimizing geodesic to a geodesically convex set?

Laplacian on 1-forms on $(\mathbb R^m,\delta)$

Shape operators with positive eigenvalues

Horizontal Subbundles and Connection Maps

Hyperbolic space is complete

Clarifying the definition of Lie derivative for tensors

Normalisation of the cuspidal curve as a Riemann surface

Finding the geodesic equations on $S^2$

(pseudo-)Riemannian manifolds and global coordinates

How do lie symmetries manfest in the metric tensors of their manifolds?

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