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Yihong Hao

Publications and source records attributed to Yihong Hao.

5 recordsLinked to original sources
arXiv2026

The curvature estimation of the complete Kähler-Einstein metrics on the disk bundles

In this paper, we compute the holomorphic sectional curvature and Riemannian sectional curvature of the complete Kähler-Einstein metric on the disk bundle over any complete Kähler-Einstein manifold. Then we study whether it is negatively pinched. When the base space is a bounded pseudoconvex domain equipped with its complete Kähler-Einstein metric, the corresponding disk bundle is a pseudoconvex Hartogs domain. We prove that the Bergman metric on such a Hartogs domain is Kähler-Einstein if and only if the domain is biholomorphically equivalent to a unit ball.

math.CV↗
arXiv2026

The Kähler submanifolds between the ball bundles and the complex Euclidean space

In this paper, we provide a sufficient condition on the non-existence of the common Kähler submanifolds between the complex Euclidean space and the ball bundles of some Hermitian vector bundles over Kähler manifolds. Then we get the non-existence theorems on several classes of ball bundles whose base spaces are Hermitian symmetric spaces or the complete Kähler-Einstein manifolds.

math.CV↗
arXiv2020

Non-relativity of Kähler manifold and complex space forms

We study the non-relativity for two real analytic Kähler manifolds and complex space forms of three types. The first one is a Kähler manifold whose polarization of local Kähler potential is a Nash function in a local coordinate. The second one is the Hartogs domain equpped with two canonical metrics whose polarizations of the Kähler potentials are the diastatic functions.

math.CV↗
arXiv2014

Kähler geometry of bounded pseudoconvex Hartogs domains

Let $Ω$ be a bounded pseudoconvex Hartogs domain. There exists a natural complete Kähler metric $g^Ω$ in terms of its defining function. In this paper, we study two problems. The first one is determining when $g^Ω$ is Einstein or extremal. The second one is the existence of holomorphic isometric immersions of $(Ω, g^Ω)$ into finite or infinite dimensional complex space forms.

math.CV↗