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Some Generalizations of the Jacobi Identity with Applications to the Curvature- and Torsion-Depending Hamiltonians of Physical Systems

In: Deformations of Mathematical Structures II

Author

Listed:
  • Bozhidar Zakhariev Iliev

    (Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy)

Abstract

On the basis of the generalizations of the Jacobi identity found by the author, some identities satisfied by the curvature and torsion of the covariant differentiation are derived. A kind of the generalized covariant differentiation is proposed and a method of finding some of the identities satisfied by them is given in correspondence to the curvatures concerned. Possible applications to some physical problems are pointed out.

Suggested Citation

  • Bozhidar Zakhariev Iliev, 1994. "Some Generalizations of the Jacobi Identity with Applications to the Curvature- and Torsion-Depending Hamiltonians of Physical Systems," Springer Books, in: Julian Ławrynowicz (ed.), Deformations of Mathematical Structures II, pages 161-188, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-1896-5_7
    DOI: 10.1007/978-94-011-1896-5_7
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