A functional inequality between Hessians in spaces with non-zero curvature

2025/06/08 by Tomasz Cieślak, Cieślak, Tomasz, Michał Gaczkowski +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2506.07292

openalex publication_date 2025/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A version of the recent functional inequality between the Hessians of the square root and the logarithm of positive functions is proven in spaces with non-zero curvature.

Citations

• Time-asymptotics of a heated string
• Characterisations for the depletion of reactant in a one-dimensional dynamic combustion model
• The entropy formula for the Ricci flow and its geometric applications

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