IJPAM: Volume 36, No. 4 (2007)

LONG-TIME EXISTENCE OF FEASIBLE PATHS
IN TIME EVOLUTION OF CURVES

Wen-Haw Chen
Department of Mathematics
Tunghai University
P.O. Box 859, Taichung, 40704, TAIWAN, R.O.C.
e-mail: whchen@thu.edu.tw


Abstract.We investigate the geometry of time evolution of curves. The main result is to show that every pair of points at different time in this new version of geometry is jointed by at least one shortest path.

Received: February 15, 2007

AMS Subject Classification: 53C20

Key Words and Phrases: feasible paths, time evolution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 4