English

The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions

Differential Geometry 2026-03-27 v3 Analysis of PDEs

Abstract

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

Keywords

Cite

@article{arxiv.2511.01777,
  title  = {The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions},
  author = {Tian Lan and Dorian Martino and Tristan Rivière},
  journal= {arXiv preprint arXiv:2511.01777},
  year   = {2026}
}

Comments

v2: References added. v3: Typos corrected and references added