Brascamp–Lieb-Type Inequalities on Weighted Riemannian Manifolds with Boundary
By A. V. Kolesnikov, Emanuel Milman. Journal of Geometric Analysis, 2013
81 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a855daf142aae72ebce6ebc6361b6cc0f7a25358
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In Applied Mathematics
- Emanuel Milman
- A. V. Kolesnikov
- Kolesnikov Alexander
- Milman Emanuel
- David Cushing
- Norbert Peyerimhoff
- Shiping Liu
- Zoltán M. Balogh
In Geometry and Topology
- A. V. Kolesnikov
- Emanuel Milman
- Kolesnikov Alexander
- Milman Emanuel
- David Cushing
- Norbert Peyerimhoff
- Shiping Liu
- Joaquim Martín
Citations in the corpus
- Local $L^p$-Brunn-Minkowski inequalities for $p<1$ (2017, methodology): “In our previous work [34], we obtained a convenient weighted version of the Reilly formula, incorporating a general density.”
- Quantitative stability of optimal transport maps under variations of the target measure (2021, unknown): “.1 We also refer to Section 3 .1 of [21].”
- Local Lp-Brunn-Minkowski inequalities for p<1 (2017, methodology): “taining estimates on λ1,e(−LK) is the Reilly formula, which is a well-known formula in Riemannian geometry obtained by integrating the Bochner–Lichnerowicz–Weitzenbo¨ck identity. In our previous work [39], we obtained a convenient weighted version of the Reilly formula, incorporating a general densi”
- Beyond traditional Curvature-Dimension I: new model spaces for isoperimetric and concentration inequalities in negative dimension (2014, background): “This has some curious consequences: it implies a uniform Poincar´e inequality for all N ∈ ( −∞ , 1 − ε ], in contrast to the Lichnerowicz estimate obtained by Kolesnikov–Milman [31] and Ohta [54], which explodes as N 0 increases to 0.”
- Bakry–Émery Curvature Functions on Graphs (2016, background): “Recently, the conditions Ric f (N) ≥ K on (Mn , g , e− f d volg), where N < n, have also been studied [17, 25].”
- Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds (2017, methodology): “For minor technical reasons, it will be useful to record the following variants of the generalized Reilly formula, which were proved in [36]:”