TY - JOUR
T1 - Complete cscK Metrics on the Local Models of the Conifold Transition
AU - Fu, Jixiang
AU - Yau, Shing Tung
AU - Zhou, Wubin
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2015/5
Y1 - 2015/5
N2 - In this paper, we construct complete constant scalar curvature Kähler (cscK) metrics on the complement of the zero section in the total space of (Formula Presented) over P1, which is biholomorphic to the smooth part of the cone C0 in C4 defined by equation (Formula Presented). On its small resolution and its deformation, we also consider complete cscK metrics and find that if the cscK metrics are homogeneous, then they must be Ricci-flat.
AB - In this paper, we construct complete constant scalar curvature Kähler (cscK) metrics on the complement of the zero section in the total space of (Formula Presented) over P1, which is biholomorphic to the smooth part of the cone C0 in C4 defined by equation (Formula Presented). On its small resolution and its deformation, we also consider complete cscK metrics and find that if the cscK metrics are homogeneous, then they must be Ricci-flat.
UR - http://www.scopus.com/inward/record.url?scp=84925518278&partnerID=8YFLogxK
U2 - 10.1007/s00220-015-2337-5
DO - 10.1007/s00220-015-2337-5
M3 - Article
AN - SCOPUS:84925518278
SN - 0010-3616
VL - 335
SP - 1215
EP - 1233
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 3
ER -