English

Why cigar can not be isometrically immersed into the 3-space

Differential Geometry 2015-06-03 v1 Analysis of PDEs

Abstract

In this paper, we study the question if there is an isometric immersion of the cigar soliton into R3R^3. We show that the answer is negative. Similar result in higher dimensions is also true for steady Bryant solitons.

Cite

@article{arxiv.1506.00764,
  title  = {Why cigar can not be isometrically immersed into the 3-space},
  author = {Li Ma and Anqiang Zhu},
  journal= {arXiv preprint arXiv:1506.00764},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-22T09:45:34.007Z