English

A Curvature Varifold Whose Weak Second Fundamental Form is Not Preserved Under Decompositions

Differential Geometry 2025-08-11 v2

Abstract

We construct a curvature varifold that does not admit a decomposition whose components are curvature varifolds.

Keywords

Cite

@article{arxiv.2411.03684,
  title  = {A Curvature Varifold Whose Weak Second Fundamental Form is Not Preserved Under Decompositions},
  author = {Nicolau S. Aiex},
  journal= {arXiv preprint arXiv:2411.03684},
  year   = {2025}
}

Comments

12 pages, 5 figures, fixed minor mistakes. To appear in AMPA