Gauss–Bonnet Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition A fundamental result relating the integral of curvature of a compact oriented manifold (or appropriate curvature form in higher dimensions) to a topological invariant of the manifold, the Euler characteristic.
Gauss–Bonnet Theorem - Mathematics & Logic - Pure Mathematics Dictionary Definition A fundamental result relating the integral of curvature of a compact oriented manifold (or appropriate curvature form in higher dimensions) to a topological invariant of the manifold, the Euler characteristic.