The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions

2025/11/03 by Tian Lan, Lan, Tian, Dorian Martino +3
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2511.01777

openalex publication_date 2025/11/03 · openalex created_date 2025/11/06 · openalex updated_date 2026/08/01

Abstract

We review recent progress concerning the analysis of Lagrangians on immersions into ℝ^d depending on the first and second fundamental forms and their covariant derivatives.

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