Cavalletti, Fabio
- The globalization theorem for the Curvature-Dimension condition
2016/12/22 by Fabio Cavalletti, Emanuel Milman, Cavalletti, Fabio +1 · 20 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds
- Existence and uniqueness of optimal transport maps
2013/01/09 by Fabio Cavalletti, Martin Huesmann, Cavalletti, Fabio +1 · 4 citations
Mathematics · #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR) #math.AP #math.MG #math.PR #msc:49Q20
- A sharp isoperimetric-type inequality for Lorentzian spaces satisfying timelike Ricci lower bounds
2024/01/08 by Fabio Cavalletti, Andrea Mondino, Cavalletti, Fabio +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Metric Geometry (math.MG)
- Optimal transport with branching distance costs and the obstacle problem
2011/03/14 by Fabio Cavalletti, Cavalletti, Fabio · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #Probability (math.PR) #math.AP #math.PR
- Monge problem in metric measure spaces with Riemannian curvature-dimension condition
2013/10/15 by Fabio Cavalletti, Cavalletti, Fabio · 1 citation
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #math.FA #math.MG
- Geometry of Grassmannians and optimal transport of quantum states
2021/04/06 by Paolo Antonini, Fabio Cavalletti, Antonini, Paolo +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Noncommutative and Quantum Gravity Theories #Topological and Geometric Data Analysis
- Optimal transport on null hypersurfaces and the null energy condition
2024/08/16 by Fabio Cavalletti, Cavalletti, Fabio, Davide Manini +3 · 2 citations
Mathematics · #83C05 (primary) 49Q22 (secondary) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #advanced mathematical theories
- Rigidities of Isoperimetric inequality under nonnegative Ricci curvature
2022/07/07 by Cavalletti, Fabio, Manini, Davide · 1 citation
#49Q22 (secondary) #53C23 (primary) 58E99 #FOS: Mathematics #Metric Geometry (math.MG)
- On the geometry of synthetic null hypersurfaces
2025/06/05 by Fabio Cavalletti, Cavalletti, Fabio, Davide Manini +3 · 4 citations
Mathematics · Physics and Astronomy · #49Q22 #53C23 (secondary) #53C50 (primary) 83C75 #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Metric Geometry (math.MG)
- Decomposition of geodesics in the Wasserstein space and the globalization property
2012/09/26 by Fabio Cavalletti, Cavalletti, Fabio · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities #math.FA #math.MG