Locally conformally flat Kähler and para-Kähler manifolds

We complete the classification of locally conformally flat Kähler and para-Kähler manifolds, describing all possible non-flat curvature models for Kähler and para-Kähler surfaces.

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Bibliographic Details
Published inAnnals of global analysis and geometry Vol. 59; no. 4; pp. 483 - 500
Main Authors Ferreiro-Subrido, M., García-Río, E., Vázquez-Lorenzo, R.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2021
Springer Nature B.V
Subjects
Analysis
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Manifolds
Mathematical Physics
Mathematics
Mathematics and Statistics
Riemannian extension
Walker structure
affine surface
Kähler and para-Kähler surface
conformal flatness
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Summary:We complete the classification of locally conformally flat Kähler and para-Kähler manifolds, describing all possible non-flat curvature models for Kähler and para-Kähler surfaces.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-021-09755-8