Research Article

Kinematic Mapping in Semi-Euclidean 4-Space

Volume: 3 Number: 1 January 30, 2015
Mehdi Jafarı
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Kinematic Mapping in Semi-Euclidean 4-Space

Abstract

We study the some algebraic properties of matrix associated to Hamilton operators which is defined for semiquaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is the same as the kinematic mapping of Blaschke and Grünwald

Keywords

Hamilton operators, Quasi-elliptic geometry, Semi-quaternion

References

  1. Dyachkova M., On Hopf bundle analogue for semi-quaternion algebra, 10th International conference DGA, Olomouc, Czech Republic, (2007) 45-47.
  2. M. Jafari, H. Molaei Some properties of matrix algebra of semi-quaternions, Accepted for publication in Konuralp Journal of Mathematics.
  3. H. Mortazaasl, M. Jafari A study on semi-quaternions algebra in semi-Euclidean 4-space, Mathematical science and application E-Notes, 1(2) (2013) 20-27.
  4. H. Pottman J. Wallner Computational line geometry, Springer-Verlag Berlin Heidelberg New York, 2000.
  5. Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands, (1997).
  6. J.P. Ward, Quaternions and Cayley numbers algebra and applications, Kluwer Academic Publishers, London, (1997).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

January 30, 2015

Submission Date

October 13, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

IZ

https://izlik.org/JA58JE74RH

Cite

RIS / Bibtex
APA
Jafarı, M. (2015). Kinematic Mapping in Semi-Euclidean 4-Space. Duzce University Journal of Science and Technology, 3(1), 173-179. https://izlik.org/JA58JE74RH
AMA
1.Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DUBİTED. 2015;3(1):173-179. https://izlik.org/JA58JE74RH
Chicago
Jafarı, Mehdi. 2015. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3 (1): 173-79. https://izlik.org/JA58JE74RH.
EndNote
Jafarı M (January 1, 2015) Kinematic Mapping in Semi-Euclidean 4-Space. Duzce University Journal of Science and Technology 3 1 173–179.
IEEE
[1]M. Jafarı, “Kinematic Mapping in Semi-Euclidean 4-Space”, DUBİTED, vol. 3, no. 1, pp. 173–179, Jan. 2015, [Online]. Available: https://izlik.org/JA58JE74RH
ISNAD
Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3/1 (January 1, 2015): 173-179. https://izlik.org/JA58JE74RH.
JAMA
1.Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DUBİTED. 2015;3:173–179.
MLA
Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology, vol. 3, no. 1, Jan. 2015, pp. 173-9, https://izlik.org/JA58JE74RH.
Vancouver
1.Mehdi Jafarı. Kinematic Mapping in Semi-Euclidean 4-Space. DUBİTED [Internet]. 2015 Jan. 1;3(1):173-9. Available from: https://izlik.org/JA58JE74RH