Remarks on Rectilinear Congruences in the Minkowski 3-Space
Received:December 16, 2004  Revised:June 27, 2005
Key Words: time-like congruence   focal point   focal surface   middle point surface   distribution parameter.  
Fund Project:Specialized Research Fund for the Doctoral Program of Higher Education (20050141011)
Author NameAffiliation
HOU Zhong-hua Department of Applied Mathematics, Dalian University of Technology, Liaoning 116023, China 
SUN Li-ping Department of Applied Mathematics, Dalian University of Technology, Liaoning 116023, China
Dept. of Info. \& Comput. Sci., Zhengzhou University of Light Industry, Henan 450002, China 
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Abstract:
      In this paper, we study some properties about rectilinear congruences, especially about time-like congruences in a Minkowski 3-space. We firstly discuss the existence of the fundamental elements of congruences and then prove a result about the distribution parameters of time-like congruences in Minkowski 3-space which is a generalization of a result proved by Su Buchin in 1927.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.01.025
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