Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions

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URI: http://hdl.handle.net/10347/30308
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2023.104754

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2023

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Elsevier
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It is given a complete study of locally conformally flat metrics satisfying some weakly-Einstein conditions. It is shown that they are either a product Mn(c)xMn(-c) or a warped product RxfRn-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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Critical metric| Einstein and weakly-Einstein metrics| Locally conformally flat| Two-loop renormalization flow

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Journal of Geometry and Physics 186 (2023) 104754

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©2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/)

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