00946nas a2200109   4500008004100000245009800041210006900139520046800208100001800676700001900694856012300713       2023                        eng d00aA general splitting principle on RCD spaces and applications to spaces with positive spectrum0 ageneral splitting principle on RCD spaces and applications to sp3 a<p><span>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.</span></p>1 aGigli, Nicola1 aMarconi, Fabio  uhttps://www.math.sissa.it/publication/general-splitting-principle-rcd-spaces-and-applications-spaces-positive-spectrum