Corpus ID: 119137567

Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces

@article{Silva2018DifferentialGO,
  title={Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces},
  author={Luiz C. da Silva},
  journal={arXiv: Differential Geometry},
  year={2018}
}
  • L. C. D. Silva
  • Published 28 September 2018
  • Mathematics
  • arXiv: Differential Geometry
We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to 7 types of invariant surfaces, which then generalizes the study of revolution/helicoidal surfaces in Euclidean and Lorentzian geometries to the context… Expand
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