Title: Covariant jets of a connection and higher order curvature tensors
Abstract: A novel approach to the connection theory on a differential manifold is presented here. In this framework, the notion of a k-th order (k=1,2,…) curvature tensor arises in a natural way. For k=1 our curvature tensor is equivalent to the conventional Riemann tensor. This approach provides natural tools for analysis of higher order variational problems in General Relativity Theory.
Publication Year: 2021
Publication Date: 2021-01-13
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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