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Curvature tensor of smoothable Alexandrov spaces

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arxiv 2202.13420 v3 pith:2TUZOD6V submitted 2022-02-27 math.DG math.MG

Nina Lebedeva , Anton Petrunin This is my paper
classification math.DGmath.MG
keywords curvaturealexandrovboundconvergenceconverginglowermanifoldsnoncollapsing
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We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature.

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Cited by 1 Pith paper

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  1. Bounding Curvature Measure on Manifolds with Singularities

    math.DG 2026-06 unverdicted novelty 4.0 of 10

    The integral of scalar curvature over B1(p) in the regular part M of an Alexandrov space X is bounded by C(n, η).

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