We study the critical points of the normal map v : NM -> Rk+n, where M is an immersed k-dimensional submanifold of Rk+n, NM is the normal bundle of M and v(m, u) = m + u if u is an element of NmM. Usually, the image of ...
In this work we consider the Taylor expansion of the exponential map of a submanifold
immersed in Rn up to order three, in order to introduce the concepts of lateral
and frontal deviation. We compute the directions of ...