This is a question about Newtonian gravity. I post it here, because there seems little interest in gravity under the classical physics section.(adsbygoogle = window.adsbygoogle || []).push({});

Principal curvatures on surfaces of equal potential around an isolated spherically symmetric orb are equal at every point by symmetry, but are they equal generally in Newtonian gravity? If not, do you have an example where they would not be equal? If so, do you have a reference that proves it?

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# Are principal curvatures equal?

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