SISSA Preprints

The splitting theorem in non-smooth context

Show simple item record Gigli, Nicola 2018-02-23T12:45:43Z 2018-02-23T12:45:43Z 2013
dc.description.abstract We prove that an infinitesimally Hilbertian $CD(0,N)$ space containing a line splits as the product of $R$ and an infinitesimally Hilbertian $CD(0,N −1)$ space. By ‘infinitesimally Hilbertian’ we mean that the Sobolev space $W^{1,2}(X,d,m)$, which in general is a Banach space, is an Hilbert space. When coupled with a curvature-dimension bound, this condition is known to be stable with respect to measured Gromov-Hausdorff convergence. en_US
dc.language.iso en en_US
dc.title The splitting theorem in non-smooth context en_US
dc.type Preprint en_US
dc.subject.miur MAT/05 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 104 en_US

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