English

Simons' Type Equation in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$ and Applications

Differential Geometry 2009-04-17 v1

Abstract

Equations of Simons type are presented. They are satisfied by a pair of special operators associated to the immersion Σ2M2(c)×R\Sigma^2\looparrowright M^2(c)\times\mathbb{R} with constant mean curvature. Some immersions are characterized.

Cite

@article{arxiv.0904.2508,
  title  = {Simons' Type Equation in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$ and Applications},
  author = {Màrcio Batista},
  journal= {arXiv preprint arXiv:0904.2508},
  year   = {2009}
}

Comments

27 pages, 0 figures

R2 v1 2026-06-21T12:52:08.027Z