4 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
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}…