Yamabe constant evolution and monotonicity along the conformal Ricci flow

Yamabe constant evolution and monotonicity along the conformal Ricci flow

We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric g(t), t∈[0,T), the time evolution formula for the Yamabe constant Y(g(t)) is derived. It is demonstrated that if the beginning metric g(0)=g0 is Yamabe metric, then the Yamabe constant is m...

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Bibliographic Details
Main Authors: Yanlin Li, Abimbola Abolarinwa, Shahroud Azami, Akram Ali
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:AIMS Mathematics
Subjects:
yamabe constant
conformal ricci flow
einstein metric
scalar curvature
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022671?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022671?viewType=HTML

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