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  • Higher order differential geometry and some related questions

    Creator:
    Fredricks, Gregory Alan
    Abstract:
    A theory of higher order connections is developed as a reduction of the structure group of the jet bundle of sections of a smooth vector bundle. This definition leads naturally to higher order curvatures and covariant derivatives. Curvature Conditions for a second order partial differential operator to have constant coefficients...
    Resource Type:
    Dissertation
    Full Text:
    differentiable structure will be simply called a manifold. If M and N are manifolds of dimensions k and n