The c-Projective Symmetry Algebras of Kähler Surfaces
Abstract Let M be a Kähler manifold with complex structure J and Kähler metric g . A c-projective vector field is a vector field on M whose flow sends J -planar curves to J -planar curves, where J -planar curves are analogs of what (unparametrised) geodesics are for pseudo-Riemannian manifolds (without complex structure). The c-projective symmetry algebras of Kähler surfaces with essential (i.e., non-affine) c-projective vector fields are computed.
Authors
- Gianni Manno
- Jan Schumm (ORCID: https://orcid.org/0000-0002-8131-8170)
- Andreas Vollmer (ORCID: https://orcid.org/0000-0003-2082-3111)
Institutions
- Universität Hamburg (DE)
- Politecnico di Torino (IT)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2025-02-06
- DOI
- https://doi.org/10.1007/s12220-024-01878-1
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Universität Hamburg
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni