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math.AP2018★ 1 cited
Adams Inequality on Pinched Hadamard Manifolds
Jerome Bertrand, Kunnath Sandeep
In this article we prove the Adams type inequality for functions, where is a positive integer less than n and is a Hadamard manifold with Ricci curvature b…
math.DG2018
Stratified spaces and synthetic Ricci curvature bounds
J. Bertrand, C Ketterer, Ilaria Mondello +1
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K R on the regular s…