The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions
Tian Lan, Dorian Martino, Tristan Rivi\`ere
TL;DR
This paper reviews recent advances in the analysis of Willmore surfaces and their generalizations in higher-dimensional Euclidean spaces, focusing on Lagrangians related to fundamental forms and their derivatives.
Contribution
It provides a comprehensive overview of recent progress in understanding Willmore surfaces and their generalizations in higher dimensions.
Findings
Enhanced understanding of Lagrangians on immersions into $\
Progress in analyzing Willmore surfaces and their higher-dimensional generalizations
Abstract
We review recent progress concerning the analysis of Lagrangians on immersions into depending on the first and second fundamental forms and their covariant derivatives.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Geometry and complex manifolds