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arXiv · 1706.03919

Conformal metric sequences with integral-bounded scalar curvature

Yuxiang Li·Zhipeng Zhou
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Abstract

Let $(M; g)$ be a smooth compact Riemiannian manifold without boundary and $g_{k}$ be a metric conformal to $g$. Suppose $vol(M; g_{k})+||R_{k}||_{L^{p}(M;g_{k})} < C$, where $R_{k}$ is the scalar curvature and $p > \frac{n}{2}$. We will use the 3-circle theorem and the John-Nirenberg inequality to study the bubble tree convergence of $g_{k}$.

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Yuxiang Li, Zhipeng Zhou. 2017-06-13. Conformal metric sequences with integral-bounded scalar curvature. https://arxiv.org/abs/1706.03919

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