Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds

We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature bounds and whose Sobolev space $W^{1,2}$ is Hilbert is rectifiable. That is, a $RCD^*(K,N)$-space is rectifiable, and in particular for $m$-a.e. point the tangent cone is unique and euclidean of dimens...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Mondino, A, Naber, A
বিন্যাস: Journal article
প্রকাশিত: European Mathematical Society 2019