Jianguo Cao

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math.DG2005

Martin points on open manifolds of non-positive curvature

Jianguo Cao, Huijun Fan, Francois Ledrappier

The Martin boundary of a Cartan-Hadamard manifold describes a fine geometric structure at infinity, which is a sub-space of positive harmonic functions. We describe conditions whic…

math.DG2003

The smoothness of Riemannian submersions with nonnegative sectional curvature

Jianguo Cao, Mei-Chi Shaw

Let $M^{n}$ be a complete, non-compact and $C^{\infty}$ -smooth Riemannian manifold with nonnegative sectional curvature. Suppose $\Cal S$ is a soul of $M^{n}$ . Then any distance non-incr…

math.DG2003

Estimates for the $\partial ˉ$ -Neumann problem and nonexistence of Levi-flat hypersurfaces in $C P^{n}$

Jianguo Cao, Mei-Chi Shaw, Lihe Wang

Let $Ω$ be a pseudoconvex domain with $C^{2}$ -smooth boundary in $C P^{n}$ . We prove that the $\partial ˉ - N e u mann o p er a t or$ N $e x i s t s f or$ (p,q) $- f or m so n$ Ω$. Furthermore, th…

Martin points on open manifolds of non-positive curvature

The smoothness of Riemannian submersions with nonnegative sectional curvature

Estimates for the ∂ˉ-Neumann problem and nonexistence of Levi-flat hypersurfaces in CPn

Estimates for the $\partial ˉ$ -Neumann problem and nonexistence of Levi-flat hypersurfaces in $C P^{n}$