THE EINSTEIN KÄHLER METRIC WITH EXPLICIT FORMULAS ON SOME NON-HOMOGENEOUS DOMAINS
Asian J. Math., Tome 8 (2004) no. 1, p. 039-050 / Harvested from Project Euclid
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In this paper we describe the Einstein-Kähler metric for the Cartan-Hartogs domains which are the special case of the Hua domains. First of all, we reduce the Monge-Ampére equation for the metric to an ordinary differential equation in the auxiliary function X = X(z,w). This differential equation can be solved to give an implicit function in X. Secondly, for some cases, we obtained explicit forms of the complete Einstein-Kähler metrics on Cartan-Hartogs domains which are the non-homogeneous domains.
Publié le : 2004-01-14
Classification:  
@article{1087840907,
     author = {WANG
, AN and YIN
, WEIPING and ZHANG
, LIYOU and ZHANG
, WENJUAN},
     title = {THE EINSTEIN K\"AHLER METRIC WITH EXPLICIT FORMULAS
ON SOME NON-HOMOGENEOUS DOMAINS},
     journal = {Asian J. Math.},
     volume = {8},
     number = {1},
     year = {2004},
     pages = { 039-050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087840907}
}

WANG
, AN; YIN
, WEIPING; ZHANG
, LIYOU; ZHANG
, WENJUAN. THE EINSTEIN KÄHLER METRIC WITH EXPLICIT FORMULAS
ON SOME NON-HOMOGENEOUS DOMAINS. Asian J. Math., Tome 8 (2004) no. 1, pp.  039-050. http://gdmltest.u-ga.fr/item/1087840907/