A Cartan-Hartogs version of the polydisk theorem

被引：0

作者：

Mossa, Roberto ^{[1
]}

Zedda, Michela ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo, Brazil

[2] Univ Parma, Dipartimento Matemat Fis & Informat, Parma, Italy

来源：

GEOMETRIAE DEDICATA | 2022年 / 216卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Cartan-Hartogs domains; Polydisk Theorem; Totally geodesic submanifolds; CANONICAL METRICS; DOMAINS; ENTROPY; SPACES;

D O I：

10.1007/s10711-022-00709-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the Polydisk Theorem for symmetric bounded domains to Cartan-Hartogs domains, and apply it to prove that a Cartan-Hartogs domain inherits totally geodesic submanifolds from the bounded symmetric domain which is based on, and to give a characterization of Cartan-Hartogs's geodesics with linear support.

引用

页数：23

共 29 条

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