Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
DOI10.1007/s12220-016-9736-5zbMath1372.53040arXiv1310.2526OpenAlexW2521510647WikidataQ115376816 ScholiaQ115376816MaRDI QIDQ2012973
Emanuel Milman, Alexander V. Kolesnikov
Publication date: 3 August 2017
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.2526
Brascamp-Lieb inequalitygeneralized Ricci curvaturenegative dimensionBakry-Émery curvature-dimension conditiongeneralized Reilly formula
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32)
Related Items (31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Poincaré inequalities and moment maps
- Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities
- Stokes' theorem.
- Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians
- Semigroup properties for the second fundamental form
- A harmonic mean bound for the spectral gap of the Laplacian on Riemannian manifolds
- Displacement convexity of generalized relative entropies
- Sectional curvature for Riemannian manifolds with density
- A Berry-Esseen type inequality for convex bodies with an unconditional basis
- Multiple integrals in the calculus of variations
- Partial differential equations. I: Basic theory
- Partial differential equations. II: Qualitative studies of linear equations
- Isoperimetric and concentration inequalities: equivalence under curvature lower bound
- Weighted Poincaré-type inequalities for Cauchy and other convex measures
- Convex set functions in d-space
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit
- Boundary layer methods for Lipschitz domains in Riemannian manifolds
- Elliptic partial differential equations of second order
- Harmonic measures on the sphere via curvature-dimension
- Complemented Brunn-Minkowski inequalities and isoperimetry for homogeneous and non-homogeneous measures
- \(f\)-minimal surface and manifold with positive \(m\)-Bakry-Émery Ricci curvature
- Sharp isoperimetric inequalities and model spaces for the curvature-dimension-diameter condition
- Ricci curvature for metric-measure spaces via optimal transport
- Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Prékopa's theorem
- Displacement convexity of generalized relative entropies. II
- On the geometry of metric measure spaces. I
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative. (Kählerian manifolds of non-negative first Chern class and Riemannian manifolds with non-negative generalized Ricci curvature)
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)
- Beyond traditional Curvature-Dimension I: New model spaces for isoperimetric and concentration inequalities in negative dimension
- A gradient estimate on a manifold with convex boundary
- Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
- Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
- Gradient estimate on convex domains and applications
- Invariances in variance estimates
- Oblique Derivative Problems for Elliptic Equations
- Book Review: Geometry of isotropic convex bodies
- Positive weighted sectional curvature
This page was built for publication: Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary