The globalization theorem for the curvature-dimension condition
F Cavalletti, E Milman - Inventiones mathematicae, 2021 - Springer
Abstract The Lott–Sturm–Villani Curvature-Dimension condition provides a synthetic notion
for a metric-measure space to have Ricci-curvature bounded from below and dimension …
for a metric-measure space to have Ricci-curvature bounded from below and dimension …
[图书][B] Comparison Finsler geometry
S Ohta - 2021 - Springer
The main aim of this book is to present recent developments of comparison geometry and
geometric analysis on Finsler manifolds in an accessible way to students and researchers …
geometric analysis on Finsler manifolds in an accessible way to students and researchers …
Nonlinear geometric analysis on Finsler manifolds
S Ohta - European Journal of Mathematics, 2017 - Springer
This is a survey article on recent progress of comparison geometry and geometric analysis
on Finsler manifolds of weighted Ricci curvature bounded below. Our purpose is twofold …
on Finsler manifolds of weighted Ricci curvature bounded below. Our purpose is twofold …
The globalization theorem for the curvature dimension condition
F Cavalletti, E Milman - arXiv preprint arXiv:1612.07623, 2016 - arxiv.org
The Lott-Sturm-Villani Curvature-Dimension condition provides a synthetic notion for a
metric-measure space to have Ricci-curvature bounded from below and dimension bounded …
metric-measure space to have Ricci-curvature bounded from below and dimension bounded …
Metric measure spaces and synthetic Ricci bounds: fundamental concepts and recent developments
KT Sturm - European Congress of Mathematics, 2023 - ems.press
Metric measure spaces with synthetic Ricci bounds have attracted great interest in recent
years, accompanied by spectacular breakthroughs and deep new insights. In this survey, I …
years, accompanied by spectacular breakthroughs and deep new insights. In this survey, I …
Beyond traditional curvature-dimension I: new model spaces for isoperimetric and concentration inequalities in negative dimension
E Milman - Transactions of the American Mathematical Society, 2017 - ams.org
We study the isoperimetric, functional and concentration properties of $ n $-dimensional
weighted Riemannian manifolds satisfying the Curvature-Dimension condition, when the …
weighted Riemannian manifolds satisfying the Curvature-Dimension condition, when the …
Bakry–Émery curvature functions on graphs
Bakry–Émery Curvature Functions on Graphs Page 1 http://dx.doi.org/. /CJM--©Canadian
Mathematical Society Bakry–Émery Curvature Functions on Graphs David Cushing, Shiping …
Mathematical Society Bakry–Émery Curvature Functions on Graphs David Cushing, Shiping …
Brascamp–Lieb-type inequalities on weighted Riemannian manifolds with boundary
AV Kolesnikov, E Milman - The Journal of Geometric Analysis, 2017 - Springer
It is known that by dualizing the Bochner–Lichnerowicz–Weitzenböck formula, one obtains
Poincaré-type inequalities on Riemannian manifolds equipped with a density, which satisfy …
Poincaré-type inequalities on Riemannian manifolds equipped with a density, which satisfy …
Gravity from thermodynamics: optimal transport and negative effective dimensions
We prove an equivalence between the classical equations of motion governing vacuum
gravity compactifications (and more general warped-product spacetimes) and a concavity …
gravity compactifications (and more general warped-product spacetimes) and a concavity …
[HTML][HTML] A first-order condition for the independence on p of weak gradients
It is well known that on arbitrary metric measure spaces, the notion of minimal p-weak upper
gradient may depend on p. In this paper we investigate how a first-order condition of the …
gradient may depend on p. In this paper we investigate how a first-order condition of the …