The Inverse Surfaces Of Tangent Developables With Respect To

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : The Inverse Surfaces Of Tangent Developables With Respect To 

Author Name  : Muhittin Evren Aydin, Mahmut ERGÜT 

Synopsis  : 

In this paper, the authors define the inverse surface of a tangent developable surface with respect to the sphere    with the center    and the radius    in 3-dimensional Euclidean space. The authors obtain the curvatures, the Christoffel symbols and the shape operator of this inverse surface by the help of these of the tangent developable surface. Morever, the authors give some necessary and sufficient conditions regarding the inverse surface being flat and minimal.