On the Chern-Yamabe flow

Mehdi Lejmi; Ali Maalaoui

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arXiv · 1706.04917

On the Chern-Yamabe flow

Mehdi Lejmi·Ali Maalaoui

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Abstract

On a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm then a slightly modified version of the Chern-Yamabe flow~\cite{Angella:2015aa} converges to a solution of the Chern-Yamabe problem. We also prove that if the Chern scalar curvature, on closed almost-Hermitian manifolds, is close enough to a constant function in a H\"older norm then the Chern-Yamabe problem has a solution for generic values of the fundamental constant.

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Mehdi Lejmi, Ali Maalaoui. 2017-06-15. On the Chern-Yamabe flow. https://arxiv.org/abs/1706.04917

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