HOMOGENEOUS LAGRANGIAN FOLIATIONS ON COMPLEX SPACE FORMS

被引：1

作者：

Diaz-Ramos, Jose Carlos ^{[1
,2
]}

Dominguez-Vazquez, Miguel ^{[1
,2
]}

Hashinaga, Takahiro ^{[3
]}

机构：

[1] Citmaga, Santiago De Compostela 15782, Spain

[2] Univ Santiago De Compostela, Dept Math, Santiago De Compostela, Spain

[3] Saga Univ, Fac Educ, Saga, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 02期

关键词：

Homogeneous Lagrangian foliation; Lagrangian submanifold; isomet-ric action; complex space form; complex hyperbolic space; horocycle foliation; SUBMANIFOLDS;

D O I：

10.1090/proc/16144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify holomorphic isometric actions on complex space forms all of whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subspace foliations of complex Euclidean spaces, and Lagrangian horocycle foliations of complex hyperbolic spaces.

引用

页码：823 / 833

页数：11

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