Finsler interpolation inequalities

2009/02/09 by Shin-ichi Ohta, Shin‐ichi Ohta · 5 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · doi:10.1007/s00526-009-0227-4

openalex publication_date 2009/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Citations

• Ricci curvature for metric-measure spaces via optimal transport
• Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
• Symplectic manifolds and their lagrangian submanifolds
• Geometric quantization and multiplicities of group representations
• Ricci curvature of Markov chains on metric spaces
• Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
• Polar factorization and monotone rearrangement of vector‐valued functions

Cited by

• Isoperimetric inequality on Finsler metric measure manifolds with non-negative weighted Ricci curvature
• Some important applications of improved Bochner inequality on Finsler manifolds
• Universal non-CD of sub-Riemannian manifolds
• Ricci Curvature on Alexandrov spaces and Rigidity Theorems
• An overview on the proof of the splitting theorem in non-smooth context