Smooth approximation of conic Kähler metric with lower Ricci curvature bound

Liangming Shen

doi:10.2140/pjm.2016.284.455

Smooth approximation of conic Kähler metric with lower Ricci curvature bound

Liangming Shen^*

^*Corresponding author for this work

Princeton University
Mathematical Sciences Research Institute

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

5 Scopus citations

Abstract

We apply methods in a paper of Tian (Comm. Pure Appl. Math. 68:7 (2015), 1085-1156) to prove that a conic Kähler metric with lower Ricci curvature bound can be approximated by smooth Kähler metrics with the same lower Ricci curvature bound. Furthermore, conic singularities here can be along a simple normal crossing divisor.

Original language	English
Pages (from-to)	455-474
Number of pages	20
Journal	Pacific Journal of Mathematics
Volume	284
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2016.284.455
State	Published - 2016
Externally published	Yes

Keywords

Conic metrics
Ricci curvature

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10.2140/pjm.2016.284.455

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title = "Smooth approximation of conic K{\"a}hler metric with lower Ricci curvature bound",

abstract = "We apply methods in a paper of Tian (Comm. Pure Appl. Math. 68:7 (2015), 1085-1156) to prove that a conic K{\"a}hler metric with lower Ricci curvature bound can be approximated by smooth K{\"a}hler metrics with the same lower Ricci curvature bound. Furthermore, conic singularities here can be along a simple normal crossing divisor.",

keywords = "Conic metrics, Ricci curvature",

author = "Liangming Shen",

note = "Publisher Copyright: {\textcopyright} 2016 Mathematical Sciences Publishers.",

year = "2016",

doi = "10.2140/pjm.2016.284.455",

language = "英语",

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AB - We apply methods in a paper of Tian (Comm. Pure Appl. Math. 68:7 (2015), 1085-1156) to prove that a conic Kähler metric with lower Ricci curvature bound can be approximated by smooth Kähler metrics with the same lower Ricci curvature bound. Furthermore, conic singularities here can be along a simple normal crossing divisor.

KW - Conic metrics

KW - Ricci curvature

UR - https://www.scopus.com/pages/publications/84991224285

U2 - 10.2140/pjm.2016.284.455

DO - 10.2140/pjm.2016.284.455

M3 - 文章

AN - SCOPUS:84991224285

SN - 0030-8730

VL - 284

SP - 455

EP - 474

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Smooth approximation of conic Kähler metric with lower Ricci curvature bound

Abstract

Keywords

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