ASYMPTOTIC CURVES ON SURFACES IN ℝ5

@article{RomeroFuster2008ASYMPTOTICCO,
  title={ASYMPTOTIC CURVES ON SURFACES IN ℝ5},
  author={M. C. Romero-Fuster and M. Ruas and F. Tari},
  journal={Communications in Contemporary Mathematics},
  year={2008},
  volume={10},
  pages={309-335}
}
We study asymptotic curves on generically immersed surfaces in ℝ5. We characterize asymptotic directions via the contact of the surface with flat objects (k-planes, k = 1 - 4), give the equation of the asymptotic curves in terms of the coefficients of the second fundamental form and study their generic local configurations. 
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