TY - JOUR
T1 - Deformation of LeBrun's ALE Metrics with Negative Mass
AU - Honda, Nobuhiro
N1 - Funding Information:
The author was partially supported by the Grant-in-Aid for Young Scientists (B), The Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2013/8
Y1 - 2013/8
N2 - In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over ℂℙ1 constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the deformation is not the standard one.
AB - In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over ℂℙ1 constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the deformation is not the standard one.
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U2 - 10.1007/s00220-012-1656-z
DO - 10.1007/s00220-012-1656-z
M3 - Article
AN - SCOPUS:84879916261
SN - 0010-3616
VL - 322
SP - 127
EP - 148
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -