A note on the extension of Ricci flow

In this paper we study Ricci flow on n dimensional closed manifold such that the scalar curvature is bounded on M×[0,T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M\times [0, T)$$\end{document}. We prove that the Ln2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\frac{n}{2}$$\end{document} norm of Riemannian curvature tenor can be controlled by the Ln2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\frac{n}{2}$$\end{document} norm of Weyl curvature tenor. As a corollary, we obtain the Ricci flow can be extended over T when n is odd if both the scalar curvature and the Ln2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^\frac{n}{2}$$\end{document} norm of Weyl curvature tenor are uniformly bounded.