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Divergence theorem for symmetric (0,2)-tensor fields on a semi-Riemannian manifold with boundary

Divergence theorem for symmetric (0,2)-tensor fields on a semi-Riemannian manifold with boundary

We prove in this paper a divergence theorem for symmetric (0,2)-tensors on a semi-Riemannian manifold with boundary. We obtain a generalization of results obtained by Ünal in [9, Acta Appl. Math. 40(1995)] and E. García-Río and D. N. Kupeli in [4, Proceeding of the Third World Congress of Nonlinear Analysts, …