11 citations · 29 across the 15 of their papers we have counts for
15 papers
Bounded holomorphic functions on negatively curved Kähler manifolds of dimension
Jianguo Cao, Mei-Chi Shaw
Let M be a simply-connected complete Kahler manifold whose sectional curvature is bounded between two negative numbers. In this paper we prove the existence of non-constant bounded…
A simple proof of Perelman's collapsing theorem for 3-manifolds
Jianguo Cao, Jian Ge
We will simplify earlier proofs of Perelman's collapsing theorem for 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's critical point the…
Perelman's collapsing theorem for 3-manifolds
Jianguo Cao, Jian Ge
We will simplify the earlier proofs of Perelman's collapsing theorem of 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's semi-convex ana…
Minimal volume and simplicial norm of visibility n-manifolds and compact 3-manifolds
Jianguo Cao, Xiaoyang Chen
Theorem A. Let denote a closed Riemannian manifold with nonpositive sectional curvature and let be the universal cover of with the lifted metric. Suppose t…
Microlocalization and nonexistence of Levi-flat hypersurfaces in $\Bbb CP^2
Jianguo Cao, Mei-Chi Shaw
To be prudent, the paper has been withdrawn by the authors, due an error (missing complex conjugate sign) in Equation (2.5). We are very grateful to Marco Brunella for pointed out…
The modified Calabi-Yau problems for CR-manifolds and applications
JIanguo Cao, Shu-Cheng Chang
In this paper, we derive a partial result related to a question of Yau: "Does a simply-connected complete Kähler manifold M with negative sectional curvature admit a bounded non-co…