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

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

2009-04-16

arxiv.org/abs/0904.2508v1

Mathematics

Differential Geometry

27 pages, 0 figures

Scientific paper

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

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