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Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I : reductivity
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Zheng, Kai and Li, Long (2018) Uniqueness of constant scalar curvature Kähler metrics with cone singularities, I : reductivity. Mathematische Annalen, 373 (1-2). pp. 679-718. doi:10.1007/s00208-017-1626-z ISSN 0025-5831.
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WRAP-Uniqueness-constant-scalar-curvature-Kahler-Metrics-Zheng-2017.pdf - Accepted Version - Requires a PDF viewer. Download (772Kb) | Preview |
Official URL: https://doi.org/10.1007/s00208-017-1626-z
Abstract
The aim of this paper is to investigate uniqueness of conic constant scalar curvature Kaehler (cscK) metrics, when the cone angle is less than π. We introduce a new H\"older space called $\cC^{4,\a,\b}$ to study the regularities of this fourth order elliptic equation, and prove that any $\cC^{2,\a,\b}$ conic cscK metric is indeed of class $\cC^{4,\a,\b}$. Finally, the reductivity is established by a careful study of the conic Lichnerowicz operator.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Kählerian manifolds, Geometry, Differential | ||||||||
Journal or Publication Title: | Mathematische Annalen | ||||||||
Publisher: | Springer Verlag | ||||||||
ISSN: | 0025-5831 | ||||||||
Official Date: | February 2018 | ||||||||
Dates: |
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Volume: | 373 | ||||||||
Number: | 1-2 | ||||||||
Page Range: | pp. 679-718 | ||||||||
DOI: | 10.1007/s00208-017-1626-z | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 12 December 2017 | ||||||||
Date of first compliant Open Access: | 18 December 2018 | ||||||||
RIOXX Funder/Project Grant: |
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