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math.DG2010
Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
Song-Ying Li, Xiaodong Wang
We consider a class of complete Kahler manifolds with a strictly pseudoconvex boundary at infinity. After studying its asymptotic geometry, we formulate a conjecture in the Kahler-…
math.DG2010★ 1 cited
Compactifications of Complete Riemannian manifolds and Their Applications
Xiaodong Wang
To study a noncompact Riemannian manifold, it is often useful to find a compactification. We discuss several common compactifications and survey some recent results.
math.DG2010
Local Gradient Estimate for -harmonic functions on Riemannian Manifolds
Xiaodong Wang, Lei Zhang
For positive -harmonic functions on Riemannian manifolds, we derive a gradient estimate and Harnack inequality with constants depending only on the lower bound of the Ricci curv…