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  • Singular geometry and geometric singularities

    Creator:
    Parker, Phillip E.
    Abstract:
    In this thesis the author extends the standard techniques of differential geometry to the case of distributional (in the sense of Schwartz) pseudoriemannian structures. A new definition of flows for distributional vector fields is developed using generalized paths which are essentially nonlinear-distributional measures, and an existence theorem is proved when...
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE THESIS OF PHILLIP E. PARKER for the degree