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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.11301 |
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| _version_ | 1866908353254391808 |
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| author | Manno, Gianni Schumm, Jan Vollmer, Andreas |
| author_facet | Manno, Gianni Schumm, Jan Vollmer, Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_11301 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The c-projective symmetry algebras of Kähler surfaces Manno, Gianni Schumm, Jan Vollmer, Andreas Differential Geometry 53A20, 53B35, 53B10 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. |
| title | The c-projective symmetry algebras of Kähler surfaces |
| topic | Differential Geometry 53A20, 53B35, 53B10 |
| url | https://arxiv.org/abs/2209.11301 |