A Cartan–Hartogs version of the polydisk theorem

Mossa Roberto; Zedda Michela

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A Cartan–Hartogs version of the polydisk theorem

机译：多盘定理的 Cartan-Hartogs 版本

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摘要

Abstract 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.

机译：摘要将对称有界域的多盘定理推广到Cartan-Hartogs域，并应用该定理证明Cartan-Hartogs域完全继承了基于的有界对称域的测地线子流形，并给出了具有线性支撑的Cartan-Hartogs测地线的特征。

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来源
《Geometriae Dedicata》 |2022年第5期|共5页
作者
Mossa Roberto; Zedda Michela;
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作者单位

Universidade de São Paulo;

Università di Parma;

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原文格式 PDF
正文语种英语
中图分类几何、拓扑;
关键词
Cartan–Hartogs domains; Polydisk Theorem; Totally geodesic submanifolds; 32Q02; 53C40;

机译：Cartan-Hartogs 域;多盘定理;全测地线子流形;32Q02;53C40型;

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1. On a Spectral Version of Cartan's Theorem [J] . Bera Sayani, Chandel Vikramjeet Singh, Londhe Mayuresh The Journal of geometric analysis . 2022,第2期

机译：On a Spectral Version of Cartan's Theorem
2. Balanced metrics on Cartan and Cartan-Hartogs domains [J] . Loi A., Zedda M. Mathematische Zeitschrift . 2012,第4期

机译：Cartan和Cartan-Hartogs域上的平衡指标
3. Symplectic geometry of Cartan–Hartogs domains [J] . Mossa Roberto, Zedda Michela Annali di matematica pura ed applicata . 2022,第5期

机译：Symplectic geometry of Cartan–Hartogs domains
4. The computations of Einstein-K(a)hler metric of Cartan-Hartogs domain [C] . 2004北京-多复变国际研讨会论文集 . 2004

机译：Cartan-Hartogs域的Einstein-K（a）hler度量的计算
5. Regularity of the Bergman Projection on Variants of the Hartogs Triangle. [D] . Chen, Liwei. 2015

机译：Bergman投影在Hartogs三角形变体上的规律性。
6. Is the Voronoi Entropy a True Entropy? Comments on Entropy Shannon’s Measure of Information and Boltzmann’s H-Theorem Entropy 2017 19 48 [O] . Edward Bormashenko, Mark Frenkel, Irina Legchenkova 2019

机译：voronoi熵是真正的熵吗？评论熵香农信息和Boltzmann的H-theorem措施熵2017191948
7. Balanced metrics on Cartan and Cartan–Hartogs domains [O] . Andrea Loi, Michela Zedda 2016

机译：Cartan和Cartan-Hartogs域名的均衡指标
8. Solution Formulas for the delta delta Bar Equation and Weighted Nevanlinna Classes in the Polydisk [R] . Andersson, M. 1984

机译：polydisk中delta delta Bar方程和加权Nevanlinna类的解公式

A Cartan–Hartogs version of the polydisk theorem

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