Abstract
Bérard-Bergery has constructed a non-Kähler Einstein Hermitian metricg with positive scalar curvature on\(C/P^2 \# \overline {C/P^2 }\). We prove thatg is a weakly *-Einstein metric with nonconstant positive *-scalar curvature.
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This research is partially supported by the Grand-in-Aid for Scientific Research (No. 03740022), the Ministry of Education, Science and Culture.
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Koda, T. A remark on the manifold\(C/P^2 \# \overline {C/P^2 }\) with Bérard-Bergery's metric. Ann Glob Anal Geom 11, 323–329 (1993). https://doi.org/10.1007/BF00773548
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DOI: https://doi.org/10.1007/BF00773548