Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions
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2023-04
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Journal of Geometry and Physics
Abstract
It is given a complete study of locally conformally flat metrics satisfying some weaklyEinstein conditions. It is shown that they are either a product Mn(c)× Mn(−c) or a warped product R ×f Rn−1 for some specific warping function. Moreover, some conditions on locally conformally flat fixed points for the RG2 flow are pointed out.
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Journal of Geometry and Physics Volume 186, April 2023, 104754