Archivio Istituzionale della RicercaLet M be a Kaehler manifold with complex structure J and Kaehler 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 Kaehler surfaces with essential (i.e., non-affine) c-projective vector fields are computed.
The c-Projective Symmetry Algebras of Kähler Surfaces / Manno, G.; Schumm, J.; Vollmer, A.. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - 35:3(2025), pp. 1-51. [10.1007/s12220-024-01878-1]
The c-Projective Symmetry Algebras of Kähler Surfaces
Manno, G.;Vollmer, A.
2025
Abstract
Let M be a Kaehler manifold with complex structure J and Kaehler 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 Kaehler surfaces with essential (i.e., non-affine) c-projective vector fields are computed.
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