Abstract
We classify Kähler–Einstein manifolds admitting a Kähler immersion into a finite dimensional complex projective space endowed with the Fubini–Study metric, whose codimension is less than or equal to 3 and whose metric is rotation invariant.
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Salis, F. Projectively induced rotation invariant Kähler metrics. Arch. Math. 109, 285–292 (2017). https://doi.org/10.1007/s00013-017-1055-y
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DOI: https://doi.org/10.1007/s00013-017-1055-y