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Gianni Manno and
Filippo Salis
2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces
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| Published: |
February 15, 2022. |
| Keywords: |
Kähler-Einstein metrics; Kähler immersions;
Kähler toric manifolds; complex projective spaces; flag manifolds; Calabi's diastasis function. |
| Subject: |
32Q20; 53C55; 35J96; 35C11. |
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Abstract
In this paper we give a complete list of non-isometric bidimensional S1-invariant Kähler-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 [7] and [31].
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| Acknowledgements
The authors gratefully acknowledge support by the project "Connessioni proiettive, equazioni di Monge-Ampere e sistemi integrabili" (INdAM), "MIUR grant Dipartimenti di Eccellenza 2018-2022 (E11G18000350001)", PRIN project 2017 "Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics" (code 2017JZ2SW5) and the "Finanziamento alla Ricerca (53_RBA17MANGIO)". The authors are members of GNSAGA of INdAM
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| Author information
Gianni Manno:
Dipartimento di Scienze Matematiche "G. L. Lagrange"
Politecnico di Torino
Corso Duca degli Abruzzi 24, 10129 Torino, Italy
giovanni.manno@polito.it
Filippo Salis:
Istituto Nazionale di Alta Matematica "F. Severi"
Politecnico di Torino
Corso Duca degli Abruzzi 24, 10129 Torino, Italy
filippo.salis@polito.it
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