Evolution of the Yamabe Constant Under Bernhard List’s Flow


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Abstract

Let g(t) be a solution of Bernhard List’s flow on a closed manifold. We obtain a pointwise control on the volume of g(t). Then under an essential assumption, we achieve a formula for the evolution of the Yamabe constant Y(g(t)) when g(t) is evolving by Bernhard List’s flow.

About the authors

F. Daneshvar Pip

Department of Mathematics and Computer Science

Author for correspondence.
Email: f.daneshvar@math.uk.ac.ir
Iran, Islamic Republic of, Kerman

A. Razavi

Department of Mathematics and Computer Science

Email: f.daneshvar@math.uk.ac.ir
Iran, Islamic Republic of, Kerman

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