dg.differential geometry - Determining a surface in $\mathbb{R}^3$ by its Gaussian curvature - MathOverflow

A curve in the plane is determined, up to orientation-preserving Euclidean motions, by its curvature function, $\kappa(s)$. Here is one of my favorite examples, from Alfred Gray's book, Modern

Mean curvature - Wikipedia

Differential Geometry: calculating Gaussian and Mean Curvature two

Surfaces of Revolution with Constant Gaussian Curvature - Wolfram

Curvature of a surface, only using calculus

What are applications of convex sets and the notion of convexity

Differential Geometry: Lecture 21 part 2: total Gaussian curvature

Differential geometry - Curvature, Surfaces, Manifolds

Curvature and normal curvature at a point on a curve on a surface

Curvature of a surface, only using calculus