@article{Li2022, 
author = {Yanlin Li and Abimbola Abolarinwa and Shahroud Azami and Akram Ali},
title = {Yamabe constant evolution and monotonicity along the conformal Ricci flow},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12077-12090},
keywords = {Yamabe constant, conformal Ricci flow, Einstein metric, scalar curvature},
url = {https://www.sciopen.com/article/10.3934/math.2022671},
doi = {10.3934/math.2022671},
abstract = {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  )  =      g    0   is Yamabe metric, then the Yamabe constant is monotonically growing along the conformal Ricci flow under some simple assumptions unless        g    0   is Einstein. As a result, this study adds to the body of knowledge about the Yamabe problem.}
}