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On the symmetries of a Kaehler manifold

Differential Geometry 2024-02-08 v2

Abstract

In this manuscript we study natural symmetries of Kaehler manifolds: constant holomorphic sectional curvature Kaheler manifolds, semisymmetric Kaehler manifolds and holomorphically pseudosymmetric Kaehler manifolds. We get characterization results, as well as a geometric interpretation of the complex Tachibana tensor.

Keywords

Cite

@article{arxiv.2205.03724,
  title  = {On the symmetries of a Kaehler manifold},
  author = {Alma L. Albujer and Jorge Alcázar and Magdalena Caballero},
  journal= {arXiv preprint arXiv:2205.03724},
  year   = {2024}
}

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18 pages