8 citations · 9 across the 3 of their papers we have counts for
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math.DG2007
Connectedness at infinity of complete Kähler manifolds and locally symmetric spaces
Peter Li, Jiaping Wang
One of the main purposes of this paper is to prove that on a complete Kähler manifold of dimension , if the holomorphic bisectional curvature is bounded from below by -1 and the…
math.DG2007★ 8 cited
Weighted Poincaré inequality and rigidity of complete manifolds
Peter Li, Jiaping Wang
We prove structure theorems for complete manifolds satisfying both the Ricci curvature lower bound and the weighted Poincaré inequality. In the process, a sharp decay estimate for…
math.DG2003★ 1 cited
Differential geometry via harmonic functions
Peter Li
In this talk, I will discuss the use of harmonic functions to study the geometry and topology of complete manifolds. In my previous joint work with Luen-fai Tam, we discovered that…