Generalized pseudo-Riemannian geometry

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Generalized pseudo-Riemannian geometry

Generalized tensor analysis in the sense of Colombeau’s construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving several characterizations of invertibility in the algebra of generalized functions we define the notions of generalized pseudo-Riemannian metric, generalized connection and generalized curvature tensor. We prove a “Fun...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2002

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-02-03058-1