The E. Study Mapping For Directed Lines in 3-Space1
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2013, Vol 5, Issue 11
Abstract
E. Study(Geometrie der Dynamen, Leibzig, 1903) showed that there exists a one-to-one correspondence between the vectors of dual unit sphereS2D and the directed lines of space of lines E3. In this paper, we introduce a generalized inner product and so obtain a new 3-space E3 . ?? Furthermore, the generalized E. Study mapping is defined for the lines in this space. We show that this map corresponds with a dual orthogonal matrix. AMS Math. Sub. Class.: 47B37.
Authors and Affiliations
Mina Rashidi| Department of Mathematics, Islamic Azad university, Miyaneh branch, Miyaneh, Iran, Mehdi Shahsavari| Department of Mathematics, Islamic Azad university, Miyaneh branch, Miyaneh, Iran, Mehdi Jafari *| Payame Noor university, Iran, email: Mj_msc@yahoo.com
Keywords
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