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Kinematic Mapping in Semi-Euclidean 4-Space

Yıl 2015, Cilt: 3 Sayı: 1, 173 - 179, 30.01.2015

Mehdi Jafarı

Öz

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

Anahtar Kelimeler

Hamilton operators Quasi-elliptic geometry Semi-quaternion

Kaynakça

  • 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

Yıl 2015, Cilt: 3 Sayı: 1, 173 - 179, 30.01.2015

Mehdi Jafarı

Öz

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.

Anahtar Kelimeler

Hamilton operatöleri Kuasi eliptik geometri Semi kuaterniyon

Kaynakça

  • 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).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Mehdi Jafarı

Yayımlanma Tarihi 30 Ocak 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

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. DÜBİTED. Ocak 2015;3(1):173-179.
Chicago Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3, sy. 1 (Ocak 2015): 173-79.
EndNote Jafarı M (01 Ocak 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”, DÜBİTED, c. 3, sy. 1, ss. 173–179, 2015.
ISNAD Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology 3/1 (Ocak 2015), 173-179.
JAMA Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DÜBİTED. 2015;3:173–179.
MLA Jafarı, Mehdi. “Kinematic Mapping in Semi-Euclidean 4-Space”. Duzce University Journal of Science and Technology, c. 3, sy. 1, 2015, ss. 173-9.
Vancouver Jafarı M. Kinematic Mapping in Semi-Euclidean 4-Space. DÜBİTED. 2015;3(1):173-9.
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