Corpus ID: 119322465

Affine factorable surfaces in isotropic spaces

@article{Aydin2018AffineFS,
  title={Affine factorable surfaces in isotropic spaces},
  author={M. Aydin and Ayla Erdur and M. Ergut},
  journal={arXiv: Differential Geometry},
  year={2018}
}
In this paper, we study the problem of finding the affine factorable surfaces in a 3-dimensional isotropic space with prescribed Gaussian (K) and mean (H) curvature. Because the absolute figure two different types of these surfaces appear by permutation of coordinates. We firstly classify the affine factorable surfaces of type 1 with K,H constants. Afterwards, we provide the affine factorable surfaces of type 2 with K=const. and H=0. In addition, in a particular case, the affine factorable… Expand
4 Citations

References

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