# Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space

@article{Kelleci2020InvariantSW, title={Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space}, author={Alev Kelleci and Luiz C. B. da Silva}, journal={arXiv: Differential Geometry}, year={2020} }

We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a surface normal cannot be unequivocally defined based on metric properties only. To understand the contrast between distinct choices of an isotropic Gauss map, here we study surfaces with a Gauss map whose coordinates are eigenfunctions of the surface Laplace-Beltrami operator. We take into account two choices, the so… CONTINUE READING

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