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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  • EP ID EP6049
  • DOI -
  • Views 313
  • Downloads 7

How To Cite

Mina Rashidi, Mehdi Shahsavari, Mehdi Jafari * (2013). The E. Study Mapping For Directed Lines in 3-Space1. International Research Journal of Applied and Basic Sciences, 5(11), 1374-1379. https://europub.co.uk./articles/-A-6049