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.
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Fund Project:Specialized Research Fund for the Doctoral Program of Higher Education (20050141011) |
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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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