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arXiv · 1906.08434

A fractional conformal curvature flow on the unit sphere

Xuezhang Chen·Pak Tung Ho
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Abstract

We study a fractional conformal curvature flow on the standard unit sphere and prove a perturbation result of the fractional Nirenberg problem with fractional exponent $\sigma \in (1/2,1)$. This extends the result of Chen-Xu (Invent. Math. 187, no. 2, 395-506, 2012) for the scalar curvature flow on the standard unit sphere.

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Xuezhang Chen, Pak Tung Ho. 2019-06-20. A fractional conformal curvature flow on the unit sphere. https://arxiv.org/abs/1906.08434

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