Conditions to Flatten the Curvature Tensor Associated with a Symmetric Affine Connection

Esperanza Cuellar, Ana C. Silva, David A. Lizárraga and Rafael L Pez

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: In this study, we present a problem that consists in flattening the curvature associated with an affine connection on â„ 2. This problem involves distributions and symmetric affine connections defined on a differential manifold M. For rank 1 constant distributions, we characterize the existence of solutions and get sufficient conditions to solve the problem. The general statement of the problem and some illustrative examples are given.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1528246

DOI: 10.1155/2022/1528246

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