Deformation Preserving Principal Curvatrue of Surfaces in R13
Received:July 18, 2000  
Key Words: isometric deformation   mean curvature   W-surface  
Fund Project:
Author NameAffiliation
WANG Xiao-ping Research Center of CAD/CAM Engineering
Nanjing Univ. of Aeronautics and Astronautics
Jiangsu
China 
ZHOU Ru-rong Research Center of CAD/CAM Engineering
Nanjing Univ. of Aeronautics and Astronautics
Jiangsu
China 
YE Zheng-lin Dept. of Math. &. Info. Sci.
Northwestern Polytechnical Univ.
Xi'an
China 
Hits: 2236
Download times: 940
Abstract:
      In this paper, we mainly study the isometric deformation preserving principal curvature of surfaces in Minkowski space R13. By generalizing some concepts from R3 to R13, we find these conclusions drawn by O. Bonnet or S. S. Chern are still hold in R13. Moreover, we research the new case that the gradient of mean curvature is null and get some meaningful results , of which main conclusion is that non-flat surfaces that can be isometrically deformed preserving the principal curvature is certainly not W-surface.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.02.017
View Full Text  View/Add Comment