Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Authors: Cortés, Vicente, Leistner, Thomas
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212611
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Compact Locally Conformally Pseudo-Kähler Manifolds with Essential Conformal Transformations. Vicente Cortés and Thomas Leistner. SIGMA 20 (2024), 084, 12 pages

A conformal transformation of a semi-Riemannian manifold is essential if there is no conformally equivalent metric for which it is an isometry. For Riemannian manifolds, the existence of an essential conformal transformation forces the manifold to be conformally flat. This is false for pseudo-Rieman...