Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Christian Ketterer"'
Publikováno v:
Mathematische Zeitschrift. 301:3469-3502
We develop a structure theory for $$\mathrm {RCD}$$ RCD spaces with curvature bounded above in Alexandrov sense. In particular, we show that any such space is a topological manifold with boundary whose interior is equal to the set of regular points.
Publikováno v:
Annales de l'Institut Fourier. 71:123-173
We prove that a compact stratified space satisfies the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K ∈ R on the regular set, the cone angle along the stratum of codimension two is smaller t
Publikováno v:
Nonlinear Analysis. 228:113202
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, 16, 1-29
Symmetry, Integrability and Geometry: Methods and Applications, 16, pp. 1-29
Symmetry, Integrability and Geometry: Methods and Applications, 16, pp. 1-29
Consider an essentially nonbranching metric measure space with the measure contraction property of Ohta and Sturm, or with a Ricci curvature lower bound in the sense of Lott, Sturm and Villani. We prove a sharp upper bound on the inscribed radius of
Autor:
Vitali Kapovitch, Christian Ketterer
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:1-44
We show that if a noncollapsed CD ( K , n ) {\mathrm{CD}(K,n)} space X with n ≥ 2 {n\geq 2} has curvature bounded above by κ in the sense of Alexandrov, then K ≤ ( n - 1 ) κ {K\leq(n-1)\kappa} and X is an Alexandrov space of curvature b
Autor:
Christian Ketterer
In this article we study stability and compactness w.r.t. measured Gromov-Hausdorff convergence of smooth metric measure spaces with integral Ricci curvature bounds. More precisely, we prove that a sequence of $n$-dimensional Riemannian manifolds sub
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4e835ae786d8396e8e724cf05cdf906
Autor:
Christian Ketterer, Andrea Mondino
Publikováno v:
Advances in Mathematics. 329:781-818
The goal of the paper is to give an optimal transport characterization of sectional curvature lower (and upper) bounds for smooth $n$-dimensional Riemannian manifolds. More generally we characterize, via optimal transport, lower bounds on the so call
By works of Schoen-Yau and Gromov-Lawson any Riemannian manifold with nonnegative scalar curvature and diffeomorphic to a torus is isometric to a flat torus. Gromov conjectured subconvergence of tori with respect to a weak Sobolev type metric when th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63797646bc5bb20930ffd59ee0c0dbca
http://arxiv.org/abs/1902.03458
http://arxiv.org/abs/1902.03458
Autor:
Vitali Kapovitch, Christian Ketterer
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 7, Iss 1, Pp 197-211 (2019)
We show that if a $CD(K,n)$ space $(X,d,f\mathcal{H}^n)$ with $n\geq 2$ has curvature bounded from above by $\kappa$ in the sense of Alexandrov then $f=const$.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dfaf65ecb0d4009de4624bb72c57332