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Curvature and characteristic classes of compact pseudo- Reimannian manifold

Curvature and characteristic classes of compact pseudo- Reimannian manifold

Introduction.In the last three decades various authors have studied the relationships between curvatures and certain topological invariants such as characteristic classes of a compact Riemannian manifold.One of the earliest results was the Gauss-Bonnet formula [1], [6], which expresses the Euler-Poincaré characteristic of a compact orientable Riemannian manifold of even dimension …