List questions from riemannian-geometry

Published on 06 Jul 2018 - 14:00

925

Views

Normalized Ricci flow

Published on 19 Mar 2026 - 22:33

685

Views

Closed geodesic on a non-simply connected Riemannian manifold

Published on 25 Mar 2026 - 3:20

273

Views

Petersen's proof of Gauss Lemma

Published on 08 Jul 2018 - 17:43

238

Views

Find the Ricci tensor from given product metric quickly

Published on 09 Jul 2018 - 1:15

293

Views

Gradient and Riemannian Hessian of function on an ellipse

Published on 10 Jul 2018 - 1:36

639

Views

When is a minimal geodesic a shortest path?

Published on 25 Mar 2026 - 9:23

322

Views

Writing Laplacian in terms of tangential and normal derivatives in local coordinates

Published on 10 Jul 2018 - 5:40

72

Views

Rate of change of volume on a domain in a Riemannian manifold due to a flow

Published on 10 Jul 2018 - 8:03

373

Views

Does $\mathbb{R P}^n \times \mathbb{R P}^n$ admit a metric with positive sectional curvature?

Published on 10 Jul 2018 - 18:32

3.7k

Views

How is Hessian tensor on Riemannian manifold related to the Hessian matrix from calculus?

Published on 11 Jul 2018 - 20:50

11.5k

Views

What is a pullback of a metric, and how does it work?

Published on 22 Feb 2026 - 23:30

65

Views

Comparing bounded and compact operators on $L^2$ to Roe algebras

Published on 25 Mar 2026 - 12:53

65

Views

Induced metric from Euclidean space

Published on 25 Mar 2026 - 12:23

46

Views

All points umbillical $\iff$ Surface is either contained in a sphere or in a plane.

Published on 13 Jul 2018 - 17:57

List Question

Relation between volume element of metric g and its pillback

Normalized Ricci flow

Closed geodesic on a non-simply connected Riemannian manifold

Petersen's proof of Gauss Lemma

Find the Ricci tensor from given product metric quickly

Gradient and Riemannian Hessian of function on an ellipse

When is a minimal geodesic a shortest path?

Writing Laplacian in terms of tangential and normal derivatives in local coordinates

Rate of change of volume on a domain in a Riemannian manifold due to a flow

Does $\mathbb{R P}^n \times \mathbb{R P}^n$ admit a metric with positive sectional curvature?

How is Hessian tensor on Riemannian manifold related to the Hessian matrix from calculus?

What is a pullback of a metric, and how does it work?

Comparing bounded and compact operators on $L^2$ to Roe algebras

Induced metric from Euclidean space

All points umbillical $\iff$ Surface is either contained in a sphere or in a plane.

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