Einstein.Kähler Metric with Explicit Formula on Super.Cartan Domain of the Fourth Type

Authors
Wang, An Yin, Wei Ping
Citation
Wang, An et Yin, Wei Ping, Einstein.Kähler Metric with Explicit Formula on Super.Cartan Domain of the Fourth Type, Acta mathematica Sinica. English series (Print) , 22(2), 2006, pp. 367-376
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
2
Year of publication
2006
Pages
367 - 376
Database
ACNP
SICI code
Abstract
Let Y IV be the Super.Cartan domain of the fourth type. We reduce the Monge.Ampère 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. We give the generating function of the Einstein.Kähler metric on Y IV . We obtain the explicit form of the complete Einstein.Kähler metric on Y IV for a special case