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

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

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In this paper,we revisit the Kähler structures on the affine quadrics M1={z12+z22+z23=1} in the paper by Bo Yang and Fang-Yang Zheng.We found that the Kähler 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.

Affine quadricsComplex structureKähler metricsCohomogeneity one action

GUAN Daniel、LIANG Meng-xiang

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School of Mathematics and Statistics,Henan University,Kaifeng 475004,China

Department of Mathematics,University of California at Riverside,CA 92521,U.S.A.

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(2)