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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 627–632
(Mi smj2350)
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On deformation of Riemannian metrics quadratic in the Ricci tensor
A. N. Plotnikova Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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.
Keywords:
Riemannian metric, Ricci curvature, De Turk trick, linearization.
Received: 07.06.2011
Citation:
A. N. Plotnikova, “On deformation of Riemannian metrics quadratic in the Ricci tensor”, Sibirsk. Mat. Zh., 53:3 (2012), 627–632; Siberian Math. J., 53:3 (2012), 502–506
Linking options:
https://www.mathnet.ru/eng/smj2350 https://www.mathnet.ru/eng/smj/v53/i3/p627
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Abstract page: | 265 | Full-text PDF : | 70 | References: | 37 | First page: | 2 |
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