Abstract
We give a representation of the variational problem on a time (space) like surface immersed in a hyperbolic space. The geometric properties of the deformed surfaces are given. The variational problem for the Klein images of 2-parametric continuous motion of a line (kinematic surface) are introduced. The theory of Klein images is applied to a time like and space like congruence. Finally, additional results are mentioned in the concluding remarks. The technique adapted here is based on Cartan's methods of moving frames, exterior differential forms and the group of motions [Result. Math. 39 (2001) 1; Tensor. N.S. 51 (3) (1992) 224; Tensor. N.S. 59 (1998) 36; Collect. Math. 45 (1994) 153].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
