IJPAM: Volume 36, No. 4 (2007)
LONG-TIME EXISTENCE OF FEASIBLE PATHS
IN TIME EVOLUTION OF CURVES
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
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