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  • 1990-1994  (2)
  • 1993  (2)
  • Finsler spacetime  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Complex spacetime tangent bundle (1993)
    Springer
    Foundations of physics 6 (1993), S. 245-255 
    Details
    ISSN: 1572-9524
    Keywords: general relativity ; complex spacetime tangent bundle ; Finsler spacetime ; complex analytic manifolds ; Kähler manifolds ; maximal proper acceleration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is demonstrated that the spacetime tangent bundle, in the case of a Finsler spacetime, is complex, provided that the gauge curvature field vanishes. This is accomplished by determining the conditions for the vanishing of the Nijenhuis tensor in the anholonomic frame adapted to the spacetime connection.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00665729
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Spacetime tangent bundle with torsion (1993)
    Springer
    Foundations of physics 6 (1993), S. 339-369 
    Details
    ISSN: 1572-9524
    Keywords: spacetime tangent bundle ; Finsler spacetime ; Kähler manifold ; torsion ; gauge curvature field ; almost complex structure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is demonstrated explicitly that the bundle connection of the Finslerspacetime tangent bundle can be made compatible with Cartan's theory of Finsler space by the inclusion of bundle torsion, and without the restriction that the gauge curvature field be vanishing. A component of the contorsion is made to cancel the contribution of the gauge curvature field to the relevant component of the bundle connection. Also, it is shown that the bundle manifold remains almost complex, and that the almost complex structure can be made to have a vanishing covariant derivative if additional conditions on the torsion are satisfied. However, the Finsler-spacetime tangent bundle remains complex only if the gauge curvature field vanishes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00665653
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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