English

A global pinching theorem of complete $\lambda$-hypersurfaces

Differential Geometry 2015-05-28 v2

Abstract

In this paper, the pinching problems of complete λ\lambda-hypersurfaces in a Euclidean space Rn+1\mathbb R^{n+1} are studied. By making use of the Sobolev inequality, we prove a global pinching theorem of complete λ\lambda-hypersurfaces in a Euclidean space Rn+1\mathbb R^{n+1}.

Keywords

Cite

@article{arxiv.1504.00789,
  title  = {A global pinching theorem of complete $\lambda$-hypersurfaces},
  author = {Shiho Ogata},
  journal= {arXiv preprint arXiv:1504.00789},
  year   = {2015}
}

Comments

13 pages

R2 v1 2026-06-22T09:09:27.559Z