List questions from curvature

Published on 14 Jun 2015 - 8:54

77

Views

Are there any open topological spaces other than $\mathbb{R}^3$ with overall zero curvature (and asymptotic to $\mathbb{R}^3$ towards infinity)?

Published on 16 Jun 2015 - 11:11

163

Views

Slight confusion about Riemann curvature, in specific about $\nabla_{[X,Y]}$

Published on 21 Jun 2015 - 10:12

791

Views

Gaussian Curvature of $x^4+y^4+z^4=1$

Published on 25 Jun 2015 - 22:31

341

Views

Kinds of isometries preserving the curvature tensor

Published on 26 Jun 2015 - 23:38

614

Views

Calculating euler characteristic and geodesic curvature

Published on 02 Jul 2015 - 20:12

337

Views

Curvature of a 3D trajectory for which I know data points

Published on 28 Mar 2026 - 9:50

217

Views

Smooth Conjugate Net vs. Curvature-Line Parametrization

Published on 08 Jul 2015 - 12:46

443

Views

What is meant by a "curvature-line parametrization" of a surface?

Published on 09 Jul 2015 - 4:52

282

Views

Nice expression for curvature of a Kähler surface

Published on 26 Mar 2026 - 14:42

975

Views

How to express curvature of a level set in terms of derivatives of a function?

Published on 16 Jul 2015 - 11:03

175

Views

Curve with with curvature $k(s)\ge 1$ everywhere has diameter $\le 2$

Published on 28 Mar 2026 - 4:35

968

Views

Push-forward of vector fields by local isometries

Published on 20 Jul 2015 - 12:48

2.2k

Views

How do I rate smoothness of discretely sampled data? (Picture!!!)

Published on 21 Jul 2015 - 20:37

584

Views

The Riemannian Curvature in a solid sphere

Published on 27 Mar 2026 - 1:44

List Question

Sphere curvature as calculated from Liouville's equation

Are there any open topological spaces other than $\mathbb{R}^3$ with overall zero curvature (and asymptotic to $\mathbb{R}^3$ towards infinity)?

Slight confusion about Riemann curvature, in specific about $\nabla_{[X,Y]}$

Gaussian Curvature of $x^4+y^4+z^4=1$

Kinds of isometries preserving the curvature tensor

Calculating euler characteristic and geodesic curvature

Curvature of a 3D trajectory for which I know data points

Smooth Conjugate Net vs. Curvature-Line Parametrization

What is meant by a "curvature-line parametrization" of a surface?

Nice expression for curvature of a Kähler surface

How to express curvature of a level set in terms of derivatives of a function?

Curve with with curvature $k(s)\ge 1$ everywhere has diameter $\le 2$

Push-forward of vector fields by local isometries

How do I rate smoothness of discretely sampled data? (Picture!!!)

The Riemannian Curvature in a solid sphere

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