Conformal transformation on metric measure spaces
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Publication:2312631
DOI10.1007/s11118-018-9705-7zbMath1421.30080arXiv1511.03115OpenAlexW2962837506MaRDI QIDQ2312631
Publication date: 17 July 2019
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.03115
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Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes ⋮ New differential operator and noncollapsed RCD spaces ⋮ Curvature-dimension conditions under time change
Cites Work
- Unnamed Item
- Independence on \(p\) of weak upper gradients on \(\mathsf{RCD}\) spaces
- Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
- Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces
- Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Localization and tensorization properties of the curvature-dimension condition for metric measure spaces
- Differentiability of Lipschitz functions on metric measure spaces
- Ricci tensor for diffusion operators and curvature-dimension inequalities under conformal transformations and time changes
- Equivalent definitions of \(BV\) space and of total variation on metric measure spaces
- Cones over metric measure spaces and the maximal diameter theorem
- Ricci curvature for metric-measure spaces via optimal transport
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the geometry of metric measure spaces. I
- On the differential structure of metric measure spaces and applications
- Nonsmooth differential geometry– An approach tailored for spaces with Ricci curvature bounded from below
- Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
