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Questions tagged [curvature]

Use this for questions pertaining to curvature of manifolds. Does not need to be specific to general relativity, but also for curvature of e.g. a Calabi-Yau manifold.

Use this for questions pertaining to curvature of manifolds. Does not need to be specific to general relativity, but also for curvature of e.g. a manifold.

1714 questions
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Galilean transformations and Frenet Frame

How I can prove that the curvature and torsion of a curve are invariant under the Galilean transformations? In my physics book a hint is the isometries of Galilean transformations, but it's still difficult. I don't have any idea.
Stavros Cohen
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What is the difference between Ricci curvature tensor and the Laplacian

Can someone please explain the difference between the information that the Ricci curvature tensor gives us and that which the Laplacian offers? Here is my shot at it: My concept of the Ricci curvature tensor is that it gives us information about the…
ben
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Removing any obstacles, if I were to make a long plank of wood equal to the Earth's diameter, would it appear curved from space?

Let's say I was able to make a really long plank of wood equal to the Earth's diameter and it was able to go through all obstacles- i.e oceans, mountains, etc. My first question: Once the plank of wood reaches the Earth's diameter in length, would…
user31045