Neutral Geometry and the Gauss-Bonnet Theorem for Two-dimensional Pseudo-Riemannian Manifolds
Neutral Geometry and the Gauss-Bonnet Theorem for Two-dimensional Pseudo-Riemannian Manifolds
The Gauss-Bonnet theorem was first extended to pseudo-Riemannian manifolds by Avez [1] and Chern [3].These authors produced a global Gauss-Bonnet theorem.For example, Chern [3] considers oriented pseudo-Riemannian vector bundles of even rank over compact manifolds and interprets the Gauss-Bonnet formula as the assertion that the relevant curvature form (that which …