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

Read Differential Geometry of Curves and Surfaces by Kristopher Tapp available from Rakuten Kobo. This is a textbook on differential geometry

Differential Geometry of Curves and Surfaces

Curvature of a surface, only using calculus

Lecture 15: Curvature of Surfaces (Discrete Differential Geometry

Differential Geometry: calculating Gaussian and Mean Curvature two

Differential Geometry: calculating Gaussian and Mean Curvature two

What is the definition of Gauss curvature? What is the definition

differential geometry - Surfaces with constant Gaussian curvature

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

PDF) Tire track geometry and integrable curve evolution

differential geometry - The curvature of an intersection curve