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Ricci curvature and <i>L<sup>p</sup> </i>-convergence
Abstract We give the definition of L p -convergence of tensor fields with respect to the Gromov–Hausdorff topology and several fundamental properties of the convergence. We apply this to establish a Bochner-type inequality which keeps the term of Hessian on the Gromov–Hausdorff limit space of a sequence of Riemannian manifolds …