Title | Optimal smooth approximation of integral cycles |
Publication Type | Journal Article |
Year of Publication | 2024 |
Authors | Almgren F, Browder W, Caldini G, De Lellis C |
Type of Article | geometric measure theory |
Abstract | In this article we prove that each integral cycle T in an oriented Riemannian manifold M can be approximated in flat norm by an integral cycle in the same homology class which is a smooth submanifold Σ of nearly the same area, up to a singular set of codimension 5. Moreover, if the homology class τ is representable by a smooth submanifold, then Σ can be chosen free of singularities. |
Notes | Preprint |
Order:
14