TY - JOUR
T1 - Explicit Solutions to the mean field equations on hyperelliptic curves of genus two
AU - Liou, Jia Ming (Frank)
N1 - Funding Information:
We are indebted to Prof. C.S. Lin and Prof. C.L. Wang from the National Taiwan university for introducing us the topic of mean field equations. Without them, this paper would not appear. The author was partially supported by MOST 104-2115-M-006-014 Grant, and by the Headquarters of University Advancement at National Cheng Kung University , which is sponsored the Ministry of Education, Republic of China (Taiwan) , and by NCTS . The author also would like to thank the referees for their valuable comments which helped to improve the manuscript.
Funding Information:
We are indebted to Prof. C.S. Lin and Prof. C.L. Wang from the National Taiwan university for introducing us the topic of mean field equations. Without them, this paper would not appear. The author was partially supported by MOST 104-2115-M-006-014 Grant, and by the Headquarters of University Advancement at National Cheng Kung University, which is sponsored the Ministry of Education, Republic of China (Taiwan), and by NCTS. The author also would like to thank the referees for their valuable comments which helped to improve the manuscript.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds2. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds2) determines an explicit solution to a mean field equation.
AB - Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds2. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds2) determines an explicit solution to a mean field equation.
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U2 - 10.1016/j.difgeo.2017.08.005
DO - 10.1016/j.difgeo.2017.08.005
M3 - Article
AN - SCOPUS:85031770870
VL - 56
SP - 173
EP - 186
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
ER -