# What is the form of curvature that is invariant under rotations and uniform scaling

This is a followup to this question, where I learned that curvature is invariant to rotations.

I have learned of a version of curvature that is invariant under affine transformations.

I am wondering if there a is a form of curvature between the two. Invariant under uniform scaling and rotation but not all affine transformations?

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