Needle decompositions and isoperimetric inequalities in Finsler geometry
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Publication:1651443
DOI10.2969/jmsj/07027604zbMath1395.53082arXiv1506.05876OpenAlexW2964164317MaRDI QIDQ1651443
Publication date: 12 July 2018
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.05876
Variational problems in a geometric measure-theoretic setting (49Q20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Related Items
Comparison theorems on weighted Finsler manifolds and spacetimes with \(\epsilon\)-range ⋮ Isoperimetric inequality in noncompact 𝖬𝖢𝖯 spaces ⋮ One dimensional weighted Ricci curvature and displacement convexity of entropies ⋮ Convergence of metric measure spaces satisfying the CD condition for negative values of the dimension parameter ⋮ Geometric and spectral properties of directed graphs under a lower Ricci curvature bound ⋮ Some functional inequalities on non-reversible Finsler manifolds ⋮ Horocyclic Brunn-Minkowski inequality ⋮ Nonlinear geometric analysis on Finsler manifolds ⋮ Quantitative estimates for the Bakry–Ledoux isoperimetric inequality II ⋮ Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature ⋮ Leaves decompositions in Euclidean spaces ⋮ The globalization theorem for the curvature-dimension condition ⋮ Rigidity for the isoperimetric inequality of negative effective dimension on weighted Riemannian manifolds ⋮ Equality in the logarithmic Sobolev inequality ⋮ Quantitative estimates for the Bakry-Ledoux isoperimetric inequality ⋮ Dilation type inequalities for strongly-convex sets in weighted Riemannian manifolds ⋮ ON RIEMANNIAN MANIFOLDS WITH POSITIVE WEIGHTED RICCI CURVATURE OF NEGATIVE EFFECTIVE DIMENSION
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