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• W2951208312 abstract "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 ``Fundamental Lemma of (pseudo-)Riemannian geometry'' in this setting and define the notion of geodesics of a generalized metric. Finally, we present applications of the resulting theory to general relativity." @default.
• W2951208312 created "2019-06-27" @default.
• W2951208312 creator A5003456365 @default.
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• W2951208312 date "2001-07-07" @default.
• W2951208312 modified "2023-09-27" @default.
• W2951208312 title "Generalized pseudo-Riemannian geometry" @default.
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• W2951208312 hasPublicationYear "2001" @default.
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