English

Umbilical surfaces of products of space forms

Differential Geometry 2015-02-27 v3

Abstract

We give a complete classification of umbilical surfaces of arbitrary codimension of a product Qk1n1×Qk2n2Q^{n_1}_{k_1}\times Q^{n_2}_{k_2} of space forms whose curvatures satisfy k1+k20k_1 + k_2 \not= 0.

Keywords

Cite

@article{arxiv.1310.2652,
  title  = {Umbilical surfaces of products of space forms},
  author = {Jaime Orjuela and Ruy Tojeiro},
  journal= {arXiv preprint arXiv:1310.2652},
  year   = {2015}
}

Comments

19 pages. To appear in Tohoku Mathematical Journal