On Inverse Surfaces in Euclidean 3-Space
  In this paper, we study the inverse surfaces in 3-dimensional Euclidean space $\mathbb{E}^{3}$. We obtain some results relating Christoffel symbols, the normal curvatures, the shape operators and the third fundamental forms of the inverse surfaces 
M. Evren Aydin, Mahmut Ergut
math.DG