Question:

Assume that a surface S has the property that |k₁| ≤ 1,|k₂|

Last updated: 8/6/2022

Assume that a surface S has the property that |k₁| ≤ 1,|k₂|

Assume that a surface S has the property that |k₁| ≤ 1,|k₂| ≤ 1 everywhere. Is it true that the curvature k of a curve on S also satisfies |k| ≤ 1?