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math.DG2024
Optimal smooth approximation of integral cycles
Fredrick Almgren, William Browder, Gianmarco Caldini +1
In this article we prove that each integral cycle in an oriented Riemannian manifold can be approximated in flat norm by an integral cycle in the same homology cl…
math.DG2010
Almost-Schur lemma
Camillo De Lellis, Peter M. Topping
Schur's lemma states that every Einstein manifold of dimension has constant scalar curvature. Here is defined to be Einstein if its traceless Ricci tensor $$\Rico…