Abstract
We prove a theorem on the short-time existence of a flow quadratic in the Ricci tensor for Riemannian metrics on compact manifolds under certain conditions. Also, we construct formulas of the deformation of the Ricci curvature tensor for this flow.
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Original Russian Text Copyright © 2012 Plotnikova A. N.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 627–632, May–June, 2012.
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Plotnikova, A.N. On deformation of Riemannian metrics quadratic in the Ricci tensor. Sib Math J 53, 502–506 (2012). https://doi.org/10.1134/S0037446612020309
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DOI: https://doi.org/10.1134/S0037446612020309