SavedAdd your journal

Journals / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space

Murat BEKAR
Pages
1–8
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
📊
Key Findings & Data:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
💡
Conclusion & Impact:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lie algebra · pseudo-rotation (boost) · split semi-quaternion

Abstract

In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and

🔖

Cite This Article

BEKAR, M. (2022). Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 1–8. https://ajindex.com/articles/539649

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Abłamowicz, R. and Sobczyk, G., Lectures on Clifford (Geometric) Algebras and Applications. Birkhäuser, Boston, 2004
  2. Abłamowicz, R., Computations with Clifford and Grassmann Algebras, Adv. Appl. Clifford Algebras, 19 (2009), 499-545
  3. Abłamowicz, R. and Fauser, B., On the Transposition Anti-Involution in Real Clifford Algebras I: The Transposition Map, Linear Multilinear A, 59 (2011), 1313-1358
  4. Abłamowicz, R. and Fauser, B., On the Transposition Anti-Involution in Real Clifford Algebras II: Stabilizer Groups of Primitive Idempotents, Linear Multilinear A, 59 (2011), 1359-1381
  5. Abłamowicz, R. and Fauser, B., On the Transposition Anti-Involution in Real Clifford Algebras III: The Automorphism Group of the Transposition Scalar Product on Spinor Spaces, Linear Multilinear A, 60 (2012), 621-644
  6. Aslan, S. and Yayli, Y., Canal Surfaces with Quaternions, Adv. Appl. Clifford Algebras, 26 (2016), 31-38
  7. Bekar, M. and Yayli, Y., Semi-Euclidean Quasi-Elliptic Planar Motion, Int. J. Geom. Methods Mod. Phys., 13 (2016), 1650089 (11 pages), DOI: 10.1142/S0219887816500894
  8. Bekar, M. and Yayli, Y., Lie Aigebra of Unit Tangent Bundle, Adv. Appl. Clifford Algebras, 27 (2017), 965–975
  9. Ell, T. A. and Sangwine, S. J., Quaternion Involutions and Anti-Involutions, Comput. Math. Appl., 53 (2007), 137-143
  10. Es, H., First and Second Acceleration Poles in Lorentzian Homothetic Motions, Commun. Fac. Sci. Univ. Ank. Ser. A 1 Math. Stat., 67 (2018), 19-28
  11. Hahn, A. J., Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups, Springer-Verlag, New York, 1994
  12. Hamilton, W. R., On a New Species of Imaginary Quantities Connected with the Theory of Quaternions, P. Roy. Irish Academy, 2 (1844), 424-434
  13. Jafari, M., Split Semi-Quaternions Algebra in Semi-Euclidean 4-Space, Cumhuriyet Science Journal, 36 36 (2015), 70–77
  14. Kuipers, J. B., Quaternions and Rotation Sequences. Princeton University Press, New Jersey, 1999
  15. Kula, L. and Yayli, Y., Split Quaternions and Rotations in Semi-Euclidean Space E^4_2, J. Korean Math. Soc., 6 (2007), 1313-1327
  16. Lopez, R., Differential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, Int. Electron. J. Geom., 7 (2014), 44-107
  17. Ward, J. P., Quaternions and Cayley Algebras and Applications, Kluwer Academic Publishers, Dordrecht, 1996.