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On the flat ridges of submanifolds of codimension 2 in Rn

  • M. C. Romero-Fuster (a1) and E. Sanabria-Codesal (a2)

Abstract

We introduce the concept of flat ridges for submanifolds of codimension 2 from the viewpoint of their contact with hyperplanes. We characterize them geometrically, studying some of their properties. In particular, we see that the highest-order flat ridges coincide with the flattenings of the asymptotic lines and from this we obtain some lower bounds for their numbers under appropriate conditions.

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On the flat ridges of submanifolds of codimension 2 in Rn

  • M. C. Romero-Fuster (a1) and E. Sanabria-Codesal (a2)

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