THE GEOMETRY OF EQUIFORM MOTIONS

Nassar H. Abdel-All (Egypt) and Fatimah Y. Mofarreh (Saudi Arabia)

Received March 26, 2008

References:

[1] Nassar H. Abdel-All and F. M. Hamdoon, Cyclic surfaces in generated by equiform motions, J. Geom. 79 (2004), 1-11. [2] A. T. Fomenko and T. L. Kunii, Topological Modeling for Visualization, Springer-Verlag, Tokyo, 1997. [3] F. S. Hill, Jr., Computer Graphics, Macmillan Publishing Company, New York, 1990. [4] R. S. Millman and G. D. Parker, Elementary Differential Geometry, Prentice Hall, New Jersey, 1977. [5] B. O’Neill, Elementary Differential Geometry, Academic Press, New York, 1966. [6] W. Rossman, Lie Group, Oxford University Press, 2004. [7] Frank W. Warner, Foundations of differentiable manifolds and Lie groups, Graduate Texts in Mathematics, 94, Springer-Verlag, New York, Berlin, 1983. [8] V. M. Zatsiorsky, Kinematics of Human Motion, Urbana-Champaign, IL, Human Kinetics, 1998.

Keywords and phrases: similarity motions, configuration space, rigid motion.