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FIZIKA A 16 (2007) 3 , 137-156
 
GEOMETRY OF MANIFOLDS ON LIE ENDOMORPHISM SPACE AND THEIR DUALS UNDER
FRACTIONAL ACTION-LIKE VARIATIONAL APPROACH
RAMI AHMAD EL-NABULSI
Department of Nuclear Engineering, Cheju National University, Ara-Dong 1, Jeju 690-756, South Korea
E-mail address: [email protected]
Received 3 June 2007; Accepted 5 December 2007
Online 8 February 2008
Some interesting fractional features of the geometry of manifolds on Lie
endomorphism space and their duals are discussed within the framework of
fractional action-like variational approach (fractionally differentiated
Lagrangian function) formulated recently by the author.
PACS numbers: 02.30.Xx, 45.10.Hj, 45.20.Jj
UDC 531.314, 532.511
AMS Subject Classification: 49K05, 49S05, 70H33, 26A33
Keywords: fractional action-like variational approach, symmetry, constants
of motion, Euler-Poincaré equations, Lie Algebra and their duals, Kelvin-Noether
theorem
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