The geometry of surfaces in 4-space from a contact viewpoint
- Cite this article as:
- Mochida, D.K.H., Romero Fuster, M.D.C. & Soares Ruas, M.A. Geom Dedicata (1995) 54: 323. doi:10.1007/BF01265348
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We study the geometry of the surfaces embedded in ℝ4 through their generic contacts with hyperplanes. The inflection points on them are shown to be the umbilic points of their families of height functions. As a consequence we prove that any generic convexly embedded 2-sphere in ℝ4 has inflection points.