Deformation Retract and Folding of the 5D Schwarzchild Field

摘要

In this article we introduce some types of the deformtion retracts of the 5D Schwarzchild space making use of Lagrangian equations. The retrac- tion of this space into itself and into geodesics has been presented. The relation between folding and deformation retract of this space has been achieved. A relation for energy conservation similar to the one obtained in four dimensions has been obtained for the five dimensional case.