作者:Shoo Seto , Guofang Wei
来源:[J].Nonlinear Analysis(IF 1.64), 2017, Vol.163, pp.60-70Elsevier
摘要:Abstract(#br)We give various estimates of the first eigenvalue of the p -Laplace operator on closed Riemannian manifold with integral curvature conditions.
作者:Xianzhe Dai , Guofang Wei , Zhenlei Zhang
来源:[J].Advances in Mathematics(IF 1.373), 2018, Vol.325, pp.1-33Elsevier
摘要:Abstract(#br)We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, the heat kernel estimate and the L 2 Hessian estimate to manifolds with integral Ricci l...
作者:John Ennis , Guofang Wei
来源:[J].Differential Geometry and its Applications(IF 0.484), 2006, Vol.24 (5), pp.554-562Elsevier
摘要:Abstract(#br)If X is the Gromov–Hausdorff limit of a sequence of Riemannian manifolds M i n with a uniform lower bound on Ricci curvature, Sormani and Wei have shown that the universal cover X ˜ of X exists [C. Sormani, G. Wei, Hausdorff convergence and universa...
作者:Xianzhe Dai , Guofang Wei
来源:[J].Advances in Mathematics(IF 1.373), 2007, Vol.214 (2), pp.551-570Elsevier
摘要:Abstract(#br)We prove a Hitchin–Thorpe inequality for noncompact Einstein 4-manifolds with specified asymptotic geometry at infinity. The asymptotic geometry at infinity is either a cusp bundle over a compact space (the fibered cusps) or a fiber bundle over a cone with a com...
作者:Jeffrey Case , Yu-Jen Shu , Guofang Wei
来源:[J].Differential Geometry and its Applications(IF 0.484), 2010, Vol.29 (1), pp.93-100Elsevier
摘要:Abstract(#br)We call a metric quasi-Einstein if the m -Bakry–Emery Ricci tensor is a constant multiple of the metric tensor. This is a generalization of Einstein metrics, it contains gradient Ricci solitons and is also closely related to the construction of the warped produc...


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