在复二维仿射锥上的完备余齐性一Kahler度量  

Complete Co-Homogeneity One Kahler Metrics on the Affine Quadric of Complex Dimension Two (Related to a Cohomogeneity One Point of View on a Yau Conjecture)

作　　者：关庄丹 梁梦翔 GUAN Danie;LIANG Meng-xiang(School of Mathematics and Statistics,Henan University,Kaifeng 475004,China;Department of Mathematics,University of California at Riverside,CA 92521,U.S.A.)

机构地区：[1]School of Mathematics and Statistics,Henan University,Kaifeng 475004,China [2]Department of Mathematics,University of California at Riverside,CA 92521,U.S.A.

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第2期200-220,共21页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.12171140).

摘　　要：In this paper,we revisit the Kahler structures on the affine quadrics M1={z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=1}in the paper by Bo Yang and Fang-Yang Zheng.We found that the Kahler structures on the complex surface are more complicated than what they have thought.We shall also give some detail calculations and found that our results fit quite well with earlier papers of the first author,one of them with X.X.Chen.

关 键 词：Affine quadrics Complex structure Kahler metrics Cohomogeneity one action 

分 类 号：O1[理学—数学]