On a New Conformal Euler-Lagrangian Equations on Para-Quaternionic Manifolds

α
Gebreel Mohammed Khur Baba Gebreel
Gebreel Mohammed Khur Baba Gebreel
σ
Gebreel Alkhair
Gebreel Alkhair

Send Message

To: Author

On a New Conformal Euler-Lagrangian Equations on Para-Quaternionic  Manifolds

Article Fingerprint

ReserarchID

7A183

On a New Conformal Euler-Lagrangian Equations on Para-Quaternionic  Manifolds Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

References

29 Cites in Article
  1. J Klein (1962). Escapes variationnals et Mecanique.
  2. M De Leon,P Rodrigues (1989). Unknown Title.
  3. R Abraham,J Marsden,T Ratiu (2001). Manifolds, tensor analysis and applications.
  4. M De Leon,P Rodrigues (1987). Second-Order-Differential Equations and Non-Conservative Lagrangian Mechanics.
  5. H Vries (2009). Chapter 4. Lagrangian and Hamiltonian Formalisms of the Classical Field Theory.
  6. Mehmet Tekkoyun (2005). On para-Euler–Lagrange and para-Hamiltonian equations.
  7. Wing Liu,Sukky Jun,Dong Qian (2005). Computational Nanomechanics of Materials.
  8. M Tekkoyun,M Sari (2010). Bi-Para-mechanical systems on the bi-Lagrangian manifold.
  9. Mehmet Tekkoyun,Yusuf Yayli (2011). MECHANICAL SYSTEMS ON GENERALIZED-QUATERNIONIC KÄHLER MANIFOLDS.
  10. M Zambine (2006). Hamiltonian Perspective on Generalized Complex Structure.
  11. M Tekkoyun (2005). On Para-Euler-Lagrange and Para-Hamiltonian Equations.
  12. M Tekkoyun (2009). Mechanical Systems on Para-Quaternionic 𝐾𝐾𝑎𝑎̈ℎ𝑙𝑙𝑙𝑙𝑙𝑙 Manifolds.
  13. Dan Stahlke (2014). Quantum interference as a resource for quantum speedup.
  14. A Dancer-H,F Jorgensen -A,Swann Metric Geometries over the Split Quaternions.
  15. L Kula,L,Y Yayli (2007). Split Quaternions and Rotations in Semi-Euclidean Space 𝐸𝐸 2 4.
  16. L Kula,Y Yayli (2006). Dual Split Quaternions and Serew Motion in Minkowski 3-Space Iranian.
  17. E Ata,Y Yayli (2009). Split Quaternions and Semi-Euclidean projective Spaces.
  18. E Ata,Yayli (2008). A Global Condition for the Triviality of an Almost Split Quaternionic Structure on Split Complex Manifolds.
  19. M Jafari,Y Yayli Generalized Quaternions and their Algebraic properties.
  20. V Cruceanu,P Fortuny,P Gadea (1996). A Survey on Paracomplex Geometry.
  21. Gebreel Mohammed,Khur Baba Gebreel,M Bashir (2017). On a new dynamics on 𝐾𝐾𝑎𝑎̈ℎ𝑙𝑙𝑙𝑙𝑙𝑙 manifold using local canonical basis.
  22. Gebreel Mohammed,Khur Baba (2017). On a New Mechanics Systems on the Standard Cliffordian 𝐾𝐾𝑎𝑎̈ℎ𝑙𝑙𝑙𝑙𝑙𝑙 Manifolds Using A Canonical Local Basis.
  23. Gerald Folland (1970). Weyl manifolds.
  24. O E Arsen'eva (1993). On the geometry of quaternion-Hermitian manifolds.
  25. P Gilkey,S 𝑁𝑁𝑖𝑖𝑘𝑘𝑙𝑙ľ𝑙𝑒𝑒𝑖𝑖𝑙𝑙 (2010). 𝐾𝐾𝑎𝑎̈ℎ𝑙𝑙𝑙𝑙𝑙𝑙 𝑎𝑎𝑛𝑛𝑑𝑑 𝑃𝑃𝑎𝑎𝑙𝑙𝑎𝑎 -𝐾𝐾𝑎𝑎̈ℎ𝑙𝑙𝑙𝑙𝑙𝑙 curvature Wey1 manifolds.
  26. Peter Gilkey,S Nikeevie (2011). The eta invariant for even dimensional PINc manifolds.
  27. H Pedersen,Y Poon,A Swann (1993). The Einstein-Wey1 equations in complex and quaternionic geometry.
  28. R Miron,D Hrimiuc,H Shimada,S Sabau (2002). The geometry of Hamilton and Lagrange spaces.
  29. H Wey (1922). Space-Time-Matter.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Gebreel Mohammed Khur Baba Gebreel. 2020. \u201cOn a New Conformal Euler-Lagrangian Equations on Para-Quaternionic Manifolds\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F4): .

Download Citation

Issue Cover
GJSFR Volume 20 Issue F4
Pg. 19- 32
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 11R52
Version of record

v1.2

Issue date

July 13, 2020

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 2282
Total Downloads: 1128
2026 Trends
Related Research

Published Article

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

On a New Conformal Euler-Lagrangian Equations on Para-Quaternionic Manifolds

Gebreel Alkhair
Gebreel Alkhair

Research Journals