Total absolute curvature

Total absolute curvature is a concept used in differential geometry, specifically in the study of curves and surfaces. It refers to a measure of the curvature of a curve or surface taken over a certain domain, quantified in a specific way. Let's break it down: 1. **Curvature Basics**: Curvature describes how much a curve deviates from being a straight line, or a surface deviates from being a flat plane. For curves, the most common measures of curvature include Gaussian curvature for surfaces.