JMAT_V1_N2_RP1
The Inverse Surfaces Of Tangent Developables With Respect To Sc(r)
M. Evren Aydin
Mahmut Ergut
Journal on Mathematics
2277-5137
1
2
7
12
Inversion, Inverse Surface, Developable Surface, Fundamental forms, Christoffel Symbols
In this paper, we 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 . We 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, we give some necessary and sufficient conditions regarding the inverse surface being flat and minimal.
April - June 2012
Copyright © 2012 i-manager publications. All rights reserved.
i-manager Publications
http://www.imanagerpublications.com/Article.aspx?ArticleId=1846