List questions from riemannian-geometry

Published on 22 Mar 2026 - 16:34

348

Views

Inconsistent statements about Laplacian versus Laplace-Beltrami

Published on 29 Nov 2018 - 7:07

619

Views

Finding Christoffel Symbols using via variational method.

Published on 26 Mar 2026 - 19:38

640

Views

How/why does the contraction of standard volume form give the canonical form.

Published on 25 Mar 2026 - 6:12

508

Views

Levi-Civita connection for a metric in $\mathbb{R}^{3}$

Published on 25 Mar 2026 - 8:09

187

Views

An upper bound of the first eigenvalue of Laplacian on a Riemannian manifold.

Published on 23 Feb 2026 - 13:29

126

Views

Extending to a local frame that agrees with given orientation

Published on 04 Dec 2018 - 1:01

1.2k

Views

Why is the metric on a hyperboloid different than the metric on a sphere?

Published on 04 Dec 2018 - 1:45

430

Views

What exactly this "elliptic" and "hyperbolic" mean on the picture describing Lobachevskian and Riemannian geometry?

Published on 26 Mar 2026 - 17:53

447

Views

Metric on $M/G$ which makes $\pi: M\to M/G$ a Riemannian submersion

Published on 04 Dec 2018 - 21:49

30

Views

Well-definedness of assinging a value to a point of a manifold with respect to parallelism

Published on 26 Mar 2026 - 11:01

74

Views

On the notion of tensor in Riemannian Geometry

Published on 26 Mar 2026 - 9:42

680

Views

Hodge-$\star$ operator computation on a smooth two-dimensional manifold

Published on 25 Mar 2026 - 9:24

58

Views

If $(e_1, \ldots, e_n)$ and $(f_1, \ldots, f_n)$ are co-oriented, then so are $(e_1, \ldots, e_n, u)$ and $(f_1, \ldots, f_n, u)$

Published on 25 Mar 2026 - 12:49

59

Views

Does ${\rm Iso}(M\times N)={\rm Iso}(M)\times {\rm Iso}(N)$ hold for product metrics?

Published on 06 Dec 2018 - 7:47

List Question

Ricci flat symmetric spaces are flat?

Inconsistent statements about Laplacian versus Laplace-Beltrami

Finding Christoffel Symbols using via variational method.

How/why does the contraction of standard volume form give the canonical form.

Levi-Civita connection for a metric in $\mathbb{R}^{3}$

An upper bound of the first eigenvalue of Laplacian on a Riemannian manifold.

Extending to a local frame that agrees with given orientation

Why is the metric on a hyperboloid different than the metric on a sphere?

What exactly this "elliptic" and "hyperbolic" mean on the picture describing Lobachevskian and Riemannian geometry?

Metric on $M/G$ which makes $\pi: M\to M/G$ a Riemannian submersion

Well-definedness of assinging a value to a point of a manifold with respect to parallelism

On the notion of tensor in Riemannian Geometry

Hodge-$\star$ operator computation on a smooth two-dimensional manifold

If $(e_1, \ldots, e_n)$ and $(f_1, \ldots, f_n)$ are co-oriented, then so are $(e_1, \ldots, e_n, u)$ and $(f_1, \ldots, f_n, u)$

Does ${\rm Iso}(M\times N)={\rm Iso}(M)\times {\rm Iso}(N)$ hold for product metrics?

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