| Title | A general splitting principle on RCD spaces and applications to spaces with positive spectrum |
| Publication Type | Preprint |
| 2023 | |
| Authors | Gigli, N, Marconi, F |
In this paper we develop a general `analytic' splitting principle for RCD spaces: we show that if there is a function with suitable Laplacian and Hessian, then the space is (isomorphic to) a warped product. Our result covers most of the splitting-like results currently available in the literature about RCD spaces. We then apply it to extend to the non-smooth category some structural property of Riemannian manifolds obtained by Li and Wang. |
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