On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property

Jixiang Fu; Shing Tung Yau; Wubin Zhou

doi:10.4310/CAG.2016.v24.n3.a4

On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property

Jixiang Fu
, Shing Tung Yau
, Wubin Zhou

Fudan University
Harvard University
Shanghai Center for Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Let X be a compact Kähler manifold and S a subvariety of X with higher co-dimension. The aim is to study complete constant scalar curvature Kähler metrics on non-compact Kähler manifold X - S with Poincaré-Mok-Yau asymptotic property (see Definition 1.1). In this paper, the methods of Calabi ansatz and the moment construction are used to provide some special examples of such metrics.

Original language	English
Pages (from-to)	521-557
Number of pages	37
Journal	Communications in Analysis and Geometry
Volume	24
Issue number	3
DOIs	https://doi.org/10.4310/CAG.2016.v24.n3.a4
Publication status	Published - 2016
Externally published	Yes

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title = "On complete constant scalar curvature K{\"a}hler metrics with Poincar{\'e}-Mok-Yau asymptotic property",

abstract = "Let X be a compact K{\"a}hler manifold and S a subvariety of X with higher co-dimension. The aim is to study complete constant scalar curvature K{\"a}hler metrics on non-compact K{\"a}hler manifold X - S with Poincar{\'e}-Mok-Yau asymptotic property (see Definition 1.1). In this paper, the methods of Calabi ansatz and the moment construction are used to provide some special examples of such metrics.",

author = "Jixiang Fu and Yau, \{Shing Tung\} and Wubin Zhou",

year = "2016",

doi = "10.4310/CAG.2016.v24.n3.a4",

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AU - Yau, Shing Tung

AU - Zhou, Wubin

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N2 - Let X be a compact Kähler manifold and S a subvariety of X with higher co-dimension. The aim is to study complete constant scalar curvature Kähler metrics on non-compact Kähler manifold X - S with Poincaré-Mok-Yau asymptotic property (see Definition 1.1). In this paper, the methods of Calabi ansatz and the moment construction are used to provide some special examples of such metrics.

AB - Let X be a compact Kähler manifold and S a subvariety of X with higher co-dimension. The aim is to study complete constant scalar curvature Kähler metrics on non-compact Kähler manifold X - S with Poincaré-Mok-Yau asymptotic property (see Definition 1.1). In this paper, the methods of Calabi ansatz and the moment construction are used to provide some special examples of such metrics.

UR - https://www.scopus.com/pages/publications/84976317463

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DO - 10.4310/CAG.2016.v24.n3.a4

M3 - Article

AN - SCOPUS:84976317463

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VL - 24

SP - 521

EP - 557

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 3

ER -

On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property

Abstract

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