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20242026
most citedToric para-Kaehler-Einstein manifolds immersed in para-Kaehler space forms

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math.DG2026

Sophus Lie's problem on two-dimensional metrics with projective symmetries: completing the local classification

Gianni Manno, Vladimir S. Matveev, Filippo Salis

We complete the local classification, up to isometry, of -dimensional pseudo-Riemannian metrics (i.e. both Riemannian and Lorentzian), admitting a projective symmetry algebra of…

math.DG2026

Projectively equivalent para-Kaehler and para-Kaehler-Einstein metrics with non-parallel Benenti tensors and their normal forms in dimension four

Gianni Manno, Filippo Salis

The study of projectively equivalent metrics, i.e., metrics sharing the same unparametrized geodesics, is a classical and well-established area of investigation. In the Kaehler con…