AbstractAt first, l will review some basic knowledge of Gz geometry. Then, l will introduce the LaplacianGz flow and review some results about its long time existence. Lastly, l wil talk about our resultabout the long time existence of the Laplacian Gz flow with bounded scalar curvature and Cl normof Weyl tensor. This talk is based on a joint work with Professor Yi Li
Abstract：Let $X$ be a compact connected smooth manifold with boundary. The paper deals with contact $1$-forms $\beta$ on $X$, whose Reeb vector fields $v_\b$ admit Lyapunov functions $f$. We prove that any odd-dimensional $X$ admits such a contact form.We tackle the question: how to recover $X$ and $\beta$ from the appropriate data along the boundary $\partial X$? We describe such boundary dat...
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