List questions from curvature

Published on 09 Apr 2019 - 15:08

171

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How to prove that Frenet frame is independent of the choices of parameters?

Published on 10 Apr 2019 - 2:39

194

Views

Definitions of Gaussian curvature

Published on 13 Apr 2019 - 11:05

151

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Curvature of the moment curve

Published on 15 Apr 2019 - 7:08

52

Views

Does there exist an opposite to curve length in integral calculus, "radius length"?

Published on 25 Mar 2026 - 11:05

303

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Can someone help in computing curvature tensor of a surface?

Published on 18 Apr 2019 - 9:45

595

Views

Weitzenböck identity for $TM$-valued differential forms

Published on 25 Mar 2026 - 15:48

271

Views

Gaussian curvature with Laplacian

Published on 25 Mar 2026 - 15:51

712

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Finding curvature of a surface of revolution with metric inherited from $\mathbb{R^3}$

Published on 19 Apr 2019 - 13:55

1000

Views

Get points in the plane of an Euler spiral given by curvature

Published on 21 Apr 2019 - 8:36

142

Views

Curvature forms as exterior covariant derivative?

Published on 25 Mar 2026 - 6:34

270

Views

How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Published on 25 Mar 2026 - 16:03

48

Views

Computing the shape operator $S_\eta :T_pN \rightarrow T_pN$

Published on 24 Apr 2019 - 20:50

862

Views

Computation of sectional curvature on torus

Published on 26 Apr 2019 - 4:00

589

Views

If parallel transport from $p$ to $q$ does not depend on curve joining $p$ to $q$, then the curvature of $M$ is identically zero.

Published on 26 Apr 2019 - 20:47

List Question

Why the constant curvature curves on plane don't contains general hyperbola?

How to prove that Frenet frame is independent of the choices of parameters?

Definitions of Gaussian curvature

Curvature of the moment curve

Does there exist an opposite to curve length in integral calculus, "radius length"?

Can someone help in computing curvature tensor of a surface?

Weitzenböck identity for $TM$-valued differential forms

Gaussian curvature with Laplacian

Finding curvature of a surface of revolution with metric inherited from $\mathbb{R^3}$

Get points in the plane of an Euler spiral given by curvature

Curvature forms as exterior covariant derivative?

How to compute $B(X, Y) = \bar{\nabla}_\bar{X}\bar{Y} - \nabla_XY$

Computing the shape operator $S_\eta :T_pN \rightarrow T_pN$

Computation of sectional curvature on torus

If parallel transport from $p$ to $q$ does not depend on curve joining $p$ to $q$, then the curvature of $M$ is identically zero.

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