We prove that a radial Kahler metric ¨ g is Kahler-Einstein if and only if one of the following ¨ conditions is satisfied: 1. g is extremal and it is associated to a Kahler-Ricci soliton; 2. two ¨ different generalized scalar curvatures of g are constant; 3. g is extremal (not cscK) and one of its generalized scalar curvature is constant.

On canonical radial Kahler metrics / Loi, A.; Salis, F.; Zuddas, F.. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 60:3(2023), pp. 545-554.

On canonical radial Kahler metrics

F. Salis;
2023

Abstract

We prove that a radial Kahler metric ¨ g is Kahler-Einstein if and only if one of the following ¨ conditions is satisfied: 1. g is extremal and it is associated to a Kahler-Ricci soliton; 2. two ¨ different generalized scalar curvatures of g are constant; 3. g is extremal (not cscK) and one of its generalized scalar curvature is constant.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2980568