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Completely idempotent pseudoconnections on semi-Riemannian and pseudo-Riemannian spaces and concircular fields - MaRDI portal

Completely idempotent pseudoconnections on semi-Riemannian and pseudo-Riemannian spaces and concircular fields (Q1405707)

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scientific article; zbMATH DE number 1971403
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English
Completely idempotent pseudoconnections on semi-Riemannian and pseudo-Riemannian spaces and concircular fields
scientific article; zbMATH DE number 1971403

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    Completely idempotent pseudoconnections on semi-Riemannian and pseudo-Riemannian spaces and concircular fields (English)
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    31 August 2003
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    The author continues his study of the theory of pseudoconnections. In Section 1, he recalls some facts of the theory of completely idempotent pseudoconnections. In Section 2, he applies the developed apparatus to construct a canonical connection on a pseudo-Riemannian almost product space and shows how to present Naveira's classification [see \textit{A. M. Naveira}, Rend. Mat. Appl., VII. Ser. 3, 577--592 (1983; Zbl 0538.53045)] in terms of this connection. In Sections 3 and 4, he studies special classes of concircular fields on a semi-Riemannian manifold (i.e., a manifold endowed with a degenerate metric).
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    pseudoconnection
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    canonical connection
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    pseudo-Riemannian almost product
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