English

Llarull's theorem on noncompact manifolds with boundary

Differential Geometry 2026-01-21 v1

Abstract

Recently, Zhang \cite{Zh20} and Li-Su-Wang-Zhang \cite{LSWZ24+} generalized Llarull's theorem to the noncompact complete spin manifold. In this paper, we further extend their results to the noncompact manifold with compact boundary.

Keywords

Cite

@article{arxiv.2601.12803,
  title  = {Llarull's theorem on noncompact manifolds with boundary},
  author = {Bo Liu and Daoqiang Liu},
  journal= {arXiv preprint arXiv:2601.12803},
  year   = {2026}
}

Comments

4 pages

R2 v1 2026-07-01T09:10:10.572Z