The idea of involute is due to C. Huygens (1658) and he is known for his work in optics also. He found involutes while trying to build a more accurate clock. Now, the involute and evolute is a well-known concept to study space curves in. I have been working on rectifying curves in (or Minkowski space) under some different settings and several results have come out and published.
In this project, we would like to investigate the involute and evolute submanifold by extending the results from involute and evolute curves in 3D space.
Available at: http://works.bepress.com/yun_myungoh/14/