carpathian_2023_39_3_717_726In this article, we consider 
an 
-dimensional closed Riemannian manifold whose metric 
evolves by the abstract geometric flow and the geometric constant 
as the lowest constant such that the equation
![\[- \Delta u + a u \log u + b S u = \lambda_a^b u\]](https://www.carpathian.cunbm.utcluj.ro/wp-content/ql-cache/quicklatex.com-8e330d41f739b7fc9debb0f23d082f75_l3.png "Rendered by QuickLaTeX.com")
with 
has a positive solution, where 
and 
are two real constants. Here we find the evolution formula for on evolving along the abstract geometric flow.
| Author(s) | Azami, Shahroud, Saha, Apurba , Hui, Shyamal Kumar, Pişcoran, Laurian-Ioan |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2023.03.11 |
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