Q'-curvature flow on Pseudo-Einstein CR manifolds

2022/03/26 by Ali Maalaoui, Maalaoui, Ali, Vittorio Martino +1
Mathematics · #58E07 #58J05. Secondary: 58E05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Primary: 58J60

paper · pdf · doi:10.48550/arxiv.2203.14162

openalex publication_date 2022/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the problem of prescribing the Q'-curvature on three dimensional Pseudo-Einstein CR manifolds. We study the gradient flow generated by the related functional and we will prove its convergence to a limit function under suitable assumptions.

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