Browsing by Subject "Weil algebra"

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  • Lie Jets and Higher-Order Partial Connections 
    Shurygin V.V. (2020)
    © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Higher-order partial connections are studied. We find conditions under which the Lie jet of a field of a geometric object ξ in the direction of the ...
  • Lifts of Poisson structures to Weil bundle 
    Shurygin V. (2012)
    In the present paper, we study complete and vertical lifts of tensor fields from a smooth manifold M to its Weil bundle T AM defined by a Frobenius Weil algebra A. For a Poisson manifold (M, w), we show that the complete ...
  • Poisson structures on Weil bundles 
    Shurygin V. (2005)
    In the present paper, we construct complete lifts of covariant and contravariant tensor fields from the smooth manifold M to its Weil bundle T AM for the case of a Frobenius Weil algebra A. For a Poisson manifold (M, w) ...
  • Transverse Lie jets and holomorphic geometric objects on transverse bundles 
    Zubkova S.; Shurygin V. (2016)
    © 2016, Allerton Press, Inc.Two holomorphic fields of geometric objects on a transverse Weil bundle are called equivalent if there exists a holomorphic diffeomorphism of this bundle onto itself which induces the identity ...

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