activity
20142021
most citedOn canonical metrics on Cartan-Hartogs domains

29 citations · 55 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2021

Globally conformally Kähler Einstein metrics on certain holomorphic bundles

Zhiming Feng

The subject of this paper is the explicit momentum construction of complete Einstein metrics by ODE methods. Using the Calabi ansatz, further generalized by Hwang-Singer, we show t…

math.CV2019

The regular quantizations of certain holomorphic bundles

Zhiming Feng

In this paper, we study the regular quantizations of Kähler manifolds by using the first two coefficients of Bergman function expansions. Firstly, we obtain sufficient and necessar…

math.CV2018★ 8 cited

Rawnsley's -function on some Hartogs type domains over bounded symmetric domains and its applications

Enchao Bi, Zhiming Feng, Guicong Su +1

The purpose of this paper is twofold. Firstly, we will compute the explicit expression of the Rawnsley's -function of $\big(\big(\prod_{j=1}…

math.CV2018

The first two coefficients of the Bergman function expansions for Cartan-Hartogs domains

Zhiming Feng

Let be a globally defined real Kähler potential on a domain , and be a Kähler metric on the Hartogs domain $ M=\{(z,w)\in Ω\times\mathbb{C}^{d_0}…

math.CV2015

Balanced metrics on the Fock-Bargmann-Hartogs domains

Enchao Bi, Zhiming Feng, Zhenhan Tu

The Fock-Bargmann-Hartogs domain () in is defined by the inequality where ,…

math.CV2014★ 18 cited

Balanced metrics on some Hartogs type domains over bounded symmetric domains

Zhiming Feng, Zhenhan Tu

The definition of balanced metrics was originally given by Donaldson in the case of a compact polarized Kähler manifold in 2001, who also established the existence of such metrics…

math.CV2014★ 29 cited

On canonical metrics on Cartan-Hartogs domains

Zhiming Feng, Zhenhan Tu

The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains. The purpose of this paper is twofold. Firstly, for a Cartan-Ha…