Compact locally conformally pseudo-Kähler manifolds with essential conformal transformations
type: Item
instance of: scholarly article
title: Compact locally conformally pseudo-Kähler manifolds with essential conformal transformations
author: V. Cortés
author: Thomas Leistner
published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
publication date: 2024-10-30T00:00:00Z
review text: The main result of this paper is the construction of Ricci-flat pseudo-Kähler symmetric spaces in signature \((4n, 4n)\) that admit essential holomorphic homotheties. Some examples of compact locally conformally pseudo-Kähler manifolds with an essential conformal group that are locally conformally Ricci-flat (but not conformally flat) are constructed.\N\NThe author also present real versions of these results in signature \((2n, 2n)\) and, more generally, in signature \((2n + k, 2n + \ell)\).\N\NSome open problems that are related to the Lichnerowicz and Lorentzian Lichnerowicz conjectures are posed.
reviewed by: Mihail B. Banaru
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 7935921
zbMATH Keywords: pseudo-Kähler manifolds
zbMATH Keywords: Ricci-flat manifolds
zbMATH Keywords: conformal transformations
zbMATH Keywords: symmetric spaces
MaRDI profile type: Publication
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DOI: 10.3842/SIGMA.2024.084
description: scientific article; zbMATH DE number 7935921