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arXiv · 2011.04323

2-dimensional K\"ahler-Einstein metrics induced by finite dimensional complex projective spaces

Gianni Manno·Filippo Salis
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Abstract

We give a complete list of non-isometric bidimensional rotation invariant K\"ahler-Einstein submanifolds of a finite dimensional complex projective space endowed with the Fubini-Study metric. This solves in the aforementioned case a classical and long-staying problem addressed among others in [5] and [24].

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Gianni Manno, Filippo Salis. 2020-11-09. 2-dimensional K\"ahler-Einstein metrics induced by finite dimensional complex projective spaces. https://arxiv.org/abs/2011.04323

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