Corpus ID: 216553028

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}
}
  • Alev Kelleci, Luiz C. B. da Silva
  • Published 2020
  • Mathematics
  • arXiv: Differential Geometry
  • 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