About this document
Gauss-Bonnet Theorem Overview by thassio luan alves rodrigues is a document available to read on EtoBox.
The document summarizes the Gauss-Bonnet theorem, which relates the integral of Gaussian curvature over a surface to the Euler characteristic. It begins by introducing turning angles and geodesic curvature on abstract surfaces. It then states that the turning angle of a curve with respect to a vector field can be related to the geodesic curvature. Finally, it provides a formula for the geodesic curvature of a curve on a surface in terms of the curve
- Author
- thassio luan alves rodrigues
- Language
- EN