Lagrangian Dynamical Systems on Clifford Ka Ihler Manifolds

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Gebreel Mohammed Khur Baba Gebreel
Gebreel Mohammed Khur Baba Gebreel
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Mohammed Ali Bashir
Mohammed Ali Bashir

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Lagrangian Dynamical Systems on Clifford Ka Ihler Manifolds

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Abstract

In his paper we obtained a canonical local basis {𝐽𝐽 𝑖𝑖 } , 𝑖𝑖 = 1,5 οΏ½οΏ½οΏ½οΏ½ of vector bundle 𝑉𝑉 on Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ manifold (𝑀𝑀, 𝑉𝑉). The paths of semispray on Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ manifold are infact the solutions of Euler-Lagrange equations.

References

11 Cites in Article
  1. M De Leon,P (1989). Methods of Differential Geometry in Analytical Mechanics.
  2. M Tekkoyun (2005). On Para-Euler-Lagrange and Hamiltonian Equations.
  3. M Tekkoyun (2005). On Para-Euler-Lagrange and Para-Hamiltonian Equations.
  4. Dan Stahlke (2014). Quantum interference as a resource for quantum speedup.
  5. M Tekkoyun Lagrangian Mechanics on the standard Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ Manifolds.
  6. Abdulla Eid,Steven Bradlow (2008). EDITOR'S INTRODUCTION.
  7. Joel Robbin,Dietmar Salamon (2013). Introduction to Differential Geometry.
  8. I Liviu,Nicolaescu (2009). Lectures on the Geometry of manifolds.
  9. K Yano,M Kon (1984). Structures on Manifolds.
  10. I Burdujan (2008). Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ Manifolds.
  11. Such that the equations expressed in Eq(14) are named Euler-Lagrange equations structured on Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ manifold (𝑇𝑇, 𝑉𝑉).

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. 2017. \u201cLagrangian Dynamical Systems on Clifford Ka Ihler Manifolds\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F2): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 70H03, 15A66
Version of record

v1.2

Issue date

March 24, 2017

Language
en
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Published Article

In his paper we obtained a canonical local basis {𝐽𝐽 𝑖𝑖 } , 𝑖𝑖 = 1,5 οΏ½οΏ½οΏ½οΏ½ of vector bundle 𝑉𝑉 on Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ manifold (𝑀𝑀, 𝑉𝑉). The paths of semispray on Clifford πΎπΎπ‘Žπ‘ŽΜˆβ„Žπ‘™π‘™π‘™π‘™π‘™π‘™ manifold are infact the solutions of Euler-Lagrange equations.

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Lagrangian Dynamical Systems on Clifford Ka Ihler Manifolds

Gebreel Mohammed Khur Baba Gebreel
Gebreel Mohammed Khur Baba Gebreel
Mohammed Ali Bashir
Mohammed Ali Bashir

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