caa a22 4500 469068973 CHVBK 20180323132916.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02801573 doi (NATIONALLICENCE)springer-10.1007/BF02801573 Simanca Santiago Department of Mathematics, SUNY Stony Brook, 11794, NY, USA aut A note on extremal metrics of non-constant scalar curvature [Elektronische Daten] [Santiago Simanca] By working in ℂ n with potentials of the forma logu + s(u), u the square of the distant to the origin, we obtain extremal Kähler metrics of nonconstant scalar curvature on the blow-up of ℂ n at $$\vec 0$$ . We then show that these metrics can be completed at ∞ by adding a ℂℙ n−1, and reobtain the extremal Kähler metrics of non-constant scalar curvature constructed by Calabi on the blow-up of ℂℙ n at one point. A similar construction produces this type of metrics on other bundles over ℂℙ n − 1. The Magnes Press, 1992 Israel Journal of Mathematics Springer-Verlag 78/1(1992-02-01), 85-93 0021-2172 78:1<85 1992 78 11856 https://doi.org/10.1007/BF02801573 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02801573 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Simanca Santiago Department of Mathematics, SUNY Stony Brook, 11794, NY, USA aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 78/1(1992-02-01), 85-93 0021-2172 78:1<85 1992 78 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer