Curvature estimates on a parabolic flow of Fei-Guo-Phong

Yi Li

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arXiv · 2210.16842

Curvature estimates on a parabolic flow of Fei-Guo-Phong

Yi Li

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Abstract

In \cite{FGP}, Fei, Guo and Phong established a criteria for the long-time existence of their parabolic flow from $11$-dimensional supergravity, which involves Riemannian curvatures ${\rm Rm}(g(t))$ and 4-forms $F(t)$. In this paper, we obtain a new criteria for the long-time existence of the same flow, which involves only Ricci curvatures ${\rm Ric}(g(t))$, $F(t)$, but as well as $\nabla_{g(t)}F(t)$.

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Yi Li. 2022-10-30. Curvature estimates on a parabolic flow of Fei-Guo-Phong. https://arxiv.org/abs/2210.16842

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