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Kinematic Mapping in Semi-Euclidean 4-Space

Year 2015, Volume: 3 Issue: 1, 173 - 179, 30.01.2015

Mehdi Jafarı

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

  • Dyachkova M., On Hopf bundle analogue for semi-quaternion algebra, 10th International conference DGA, Olomouc, Czech Republic, (2007) 45-47.
  • M. Jafari, H. Molaei Some properties of matrix algebra of semi-quaternions, Accepted for publication in Konuralp Journal of Mathematics.
  • 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.
  • H. Pottman J. Wallner Computational line geometry, Springer-Verlag Berlin Heidelberg New York, 2000.
  • Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands, (1997).
  • J.P. Ward, Quaternions and Cayley numbers algebra and applications, Kluwer Academic Publishers, London, (1997).

Dört Buyutlu Semi-Oklidean Uzayda kinematik dönüşümler

Year 2015, Volume: 3 Issue: 1, 173 - 179, 30.01.2015

Mehdi Jafarı

Abstract

Semi-kuaterniyonların Hamilton opratorlarına karşılık gelen matrislerin bazı cebirsel özeliklerin araştırdık. Bu opratorlara karşılık gelen dönüşümler kinematığı dört boyutlu semi oklıd uzayında, Blaşke ve Grünwald dönüşümler kinematığı aynıdır.

Keywords

Hamilton operatöleri Kuasi eliptik geometri Semi kuaterniyon

References

  • Dyachkova M., On Hopf bundle analogue for semi-quaternion algebra, 10th International conference DGA, Olomouc, Czech Republic, (2007) 45-47.
  • M. Jafari, H. Molaei Some properties of matrix algebra of semi-quaternions, Accepted for publication in Konuralp Journal of Mathematics.
  • 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.
  • H. Pottman J. Wallner Computational line geometry, Springer-Verlag Berlin Heidelberg New York, 2000.
  • Rosenfeld B., Geometry of Lie groups, Kluwer Academic Publishers, Netherlands, (1997).
  • J.P. Ward, Quaternions and Cayley numbers algebra and applications, Kluwer Academic Publishers, London, (1997).
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Mehdi Jafarı

Publication Date January 30, 2015
Published in Issue Year 2015 Volume: 3 Issue: 1

Cite

APA Jafarı, M. (2015). Kinematic Mapping in Semi-Euclidean 4-Space. Duzce University Journal of Science and Technology, 3(1), 173-179.
AMA Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DUBİTED. January 2015;3(1):173-179.
Chicago Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3, no. 1 (January 2015): 173-79.
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 M. Jafarı, “Kinematic Mapping in Semi-Euclidean 4-Space”, DUBİTED, vol. 3, no. 1, pp. 173–179, 2015.
ISNAD Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3/1 (January2015), 173-179.
JAMA 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, 2015, pp. 173-9.
Vancouver Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DUBİTED. 2015;3(1):173-9.