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تسجيل مستخدم جديدA proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation
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We derive the Chern-Gauss-Bonnet Theorem for manifolds with smooth non-degenerate boundary in the pseudo-Riemannian context from the corresponding result in the Riemannian setting by examining the Euler-Lagrange equations associated to the Pfaffian of a complex metric on the tangent space and then applying analytic continuation.
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